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Finding the Fourth Proportional to 99.75, 149.52 and 51.57

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Solution

The fourth proportional to 99.75, 149.52 and 51.57 is: 77.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 149.52 = 51.57 : x
  2. Step 2: Convert to fraction form
    99.75/149.52 = 51.57/x
  3. Step 3: Cross multiply
    99.75x = 149.52 × 51.57
  4. Step 4: Simplify right side
    99.75x = 7,710.75
  5. Step 5: Solve for x
    x = 7,710.75/99.75
  6. Step 6: Final answer
    x = 77.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.