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Finding the Fourth Proportional to 66.48, 91.86 and 62.88

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Solution

The fourth proportional to 66.48, 91.86 and 62.88 is: 86.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.48 : 91.86 = 62.88 : x
  2. Step 2: Convert to fraction form
    66.48/91.86 = 62.88/x
  3. Step 3: Cross multiply
    66.48x = 91.86 × 62.88
  4. Step 4: Simplify right side
    66.48x = 5,776.16
  5. Step 5: Solve for x
    x = 5,776.16/66.48
  6. Step 6: Final answer
    x = 86.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.