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Finding the Fourth Proportional to 189.59, 261.66 and 110.93

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Solution

The fourth proportional to 189.59, 261.66 and 110.93 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.59 : 261.66 = 110.93 : x
  2. Step 2: Convert to fraction form
    189.59/261.66 = 110.93/x
  3. Step 3: Cross multiply
    189.59x = 261.66 × 110.93
  4. Step 4: Simplify right side
    189.59x = 29,025.94
  5. Step 5: Solve for x
    x = 29,025.94/189.59
  6. Step 6: Final answer
    x = 153.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.