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Finding the Fourth Proportional to 66.48, 99.24 and 52.83

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Solution

The fourth proportional to 66.48, 99.24 and 52.83 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.48 : 99.24 = 52.83 : x
  2. Step 2: Convert to fraction form
    66.48/99.24 = 52.83/x
  3. Step 3: Cross multiply
    66.48x = 99.24 × 52.83
  4. Step 4: Simplify right side
    66.48x = 5,242.85
  5. Step 5: Solve for x
    x = 5,242.85/66.48
  6. Step 6: Final answer
    x = 78.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.