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Finding the Fourth Proportional to 106.64, 147.18 and 60.02

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Solution

The fourth proportional to 106.64, 147.18 and 60.02 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.64 : 147.18 = 60.02 : x
  2. Step 2: Convert to fraction form
    106.64/147.18 = 60.02/x
  3. Step 3: Cross multiply
    106.64x = 147.18 × 60.02
  4. Step 4: Simplify right side
    106.64x = 8,833.01
  5. Step 5: Solve for x
    x = 8,833.01/106.64
  6. Step 6: Final answer
    x = 82.83

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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.