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Finding the Fourth Proportional to 62.09, 85.47 and 56.30

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Solution

The fourth proportional to 62.09, 85.47 and 56.30 is: 77.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.09 : 85.47 = 56.30 : x
  2. Step 2: Convert to fraction form
    62.09/85.47 = 56.30/x
  3. Step 3: Cross multiply
    62.09x = 85.47 × 56.30
  4. Step 4: Simplify right side
    62.09x = 4,811.53
  5. Step 5: Solve for x
    x = 4,811.53/62.09
  6. Step 6: Final answer
    x = 77.50

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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.