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Finding the Fourth Proportional to 71.36, 107.02 and 62.14

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Solution

The fourth proportional to 71.36, 107.02 and 62.14 is: 93.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.36 : 107.02 = 62.14 : x
  2. Step 2: Convert to fraction form
    71.36/107.02 = 62.14/x
  3. Step 3: Cross multiply
    71.36x = 107.02 × 62.14
  4. Step 4: Simplify right side
    71.36x = 6,650.22
  5. Step 5: Solve for x
    x = 6,650.22/71.36
  6. Step 6: Final answer
    x = 93.19

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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.