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Finding the Fourth Proportional to 71.64, 98.85 and 42.53

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Solution

The fourth proportional to 71.64, 98.85 and 42.53 is: 58.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 98.85 = 42.53 : x
  2. Step 2: Convert to fraction form
    71.64/98.85 = 42.53/x
  3. Step 3: Cross multiply
    71.64x = 98.85 × 42.53
  4. Step 4: Simplify right side
    71.64x = 4,204.09
  5. Step 5: Solve for x
    x = 4,204.09/71.64
  6. Step 6: Final answer
    x = 58.68

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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.