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Finding the Fourth Proportional to 71.02, 106.37 and 42.15

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Solution

The fourth proportional to 71.02, 106.37 and 42.15 is: 63.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 106.37 = 42.15 : x
  2. Step 2: Convert to fraction form
    71.02/106.37 = 42.15/x
  3. Step 3: Cross multiply
    71.02x = 106.37 × 42.15
  4. Step 4: Simplify right side
    71.02x = 4,483.28
  5. Step 5: Solve for x
    x = 4,483.28/71.02
  6. Step 6: Final answer
    x = 63.13

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