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Finding the Fourth Proportional to 66.57, 99.75 and 42.48

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Solution

The fourth proportional to 66.57, 99.75 and 42.48 is: 63.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.57 : 99.75 = 42.48 : x
  2. Step 2: Convert to fraction form
    66.57/99.75 = 42.48/x
  3. Step 3: Cross multiply
    66.57x = 99.75 × 42.48
  4. Step 4: Simplify right side
    66.57x = 4,237.38
  5. Step 5: Solve for x
    x = 4,237.38/66.57
  6. Step 6: Final answer
    x = 63.65

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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.