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Finding the Fourth Proportional to 65.04, 89.20 and 62.56

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Solution

The fourth proportional to 65.04, 89.20 and 62.56 is: 85.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.04 : 89.20 = 62.56 : x
  2. Step 2: Convert to fraction form
    65.04/89.20 = 62.56/x
  3. Step 3: Cross multiply
    65.04x = 89.20 × 62.56
  4. Step 4: Simplify right side
    65.04x = 5,580.35
  5. Step 5: Solve for x
    x = 5,580.35/65.04
  6. Step 6: Final answer
    x = 85.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.