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Finding the Fourth Proportional to 71.35, 98.52 and 57.49

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Solution

The fourth proportional to 71.35, 98.52 and 57.49 is: 79.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 98.52 = 57.49 : x
  2. Step 2: Convert to fraction form
    71.35/98.52 = 57.49/x
  3. Step 3: Cross multiply
    71.35x = 98.52 × 57.49
  4. Step 4: Simplify right side
    71.35x = 5,663.67
  5. Step 5: Solve for x
    x = 5,663.67/71.35
  6. Step 6: Final answer
    x = 79.38

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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.