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Finding the Fourth Proportional to 189.47, 284.13 and 91.89

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Solution

The fourth proportional to 189.47, 284.13 and 91.89 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.47 : 284.13 = 91.89 : x
  2. Step 2: Convert to fraction form
    189.47/284.13 = 91.89/x
  3. Step 3: Cross multiply
    189.47x = 284.13 × 91.89
  4. Step 4: Simplify right side
    189.47x = 26,108.71
  5. Step 5: Solve for x
    x = 26,108.71/189.47
  6. Step 6: Final answer
    x = 137.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.