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Finding the Fourth Proportional to 62.40, 93.61 and 52.13

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Solution

The fourth proportional to 62.40, 93.61 and 52.13 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 93.61 = 52.13 : x
  2. Step 2: Convert to fraction form
    62.40/93.61 = 52.13/x
  3. Step 3: Cross multiply
    62.40x = 93.61 × 52.13
  4. Step 4: Simplify right side
    62.40x = 4,879.89
  5. Step 5: Solve for x
    x = 4,879.89/62.40
  6. Step 6: Final answer
    x = 78.20

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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.