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Finding the Fourth Proportional to 62.34, 85.86 and 59.40

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Solution

The fourth proportional to 62.34, 85.86 and 59.40 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.34 : 85.86 = 59.40 : x
  2. Step 2: Convert to fraction form
    62.34/85.86 = 59.40/x
  3. Step 3: Cross multiply
    62.34x = 85.86 × 59.40
  4. Step 4: Simplify right side
    62.34x = 5,100.08
  5. Step 5: Solve for x
    x = 5,100.08/62.34
  6. Step 6: Final answer
    x = 81.81

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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.