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Finding the Fourth Proportional to 106.66, 147.17 and 60.02

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Solution

The fourth proportional to 106.66, 147.17 and 60.02 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 147.17 = 60.02 : x
  2. Step 2: Convert to fraction form
    106.66/147.17 = 60.02/x
  3. Step 3: Cross multiply
    106.66x = 147.17 × 60.02
  4. Step 4: Simplify right side
    106.66x = 8,832.84
  5. Step 5: Solve for x
    x = 8,832.84/106.66
  6. Step 6: Final answer
    x = 82.82

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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.