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Finding the Fourth Proportional to 72.43, 99.85 and 57.72

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Solution

The fourth proportional to 72.43, 99.85 and 57.72 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.43 : 99.85 = 57.72 : x
  2. Step 2: Convert to fraction form
    72.43/99.85 = 57.72/x
  3. Step 3: Cross multiply
    72.43x = 99.85 × 57.72
  4. Step 4: Simplify right side
    72.43x = 5,763.68
  5. Step 5: Solve for x
    x = 5,763.68/72.43
  6. Step 6: Final answer
    x = 79.58

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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.