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Finding the Fourth Proportional to 189.77, 261.88 and 106.87

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Solution

The fourth proportional to 189.77, 261.88 and 106.87 is: 147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 261.88 = 106.87 : x
  2. Step 2: Convert to fraction form
    189.77/261.88 = 106.87/x
  3. Step 3: Cross multiply
    189.77x = 261.88 × 106.87
  4. Step 4: Simplify right side
    189.77x = 27,986.58
  5. Step 5: Solve for x
    x = 27,986.58/189.77
  6. Step 6: Final answer
    x = 147.48

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