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Finding the Fourth Proportional to 106.56, 147.09 and 65.14

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Solution

The fourth proportional to 106.56, 147.09 and 65.14 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 147.09 = 65.14 : x
  2. Step 2: Convert to fraction form
    106.56/147.09 = 65.14/x
  3. Step 3: Cross multiply
    106.56x = 147.09 × 65.14
  4. Step 4: Simplify right side
    106.56x = 9,581.44
  5. Step 5: Solve for x
    x = 9,581.44/106.56
  6. Step 6: Final answer
    x = 89.92

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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.