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Finding the Fourth Proportional to 98.55, 147.87 and 71.71

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Solution

The fourth proportional to 98.55, 147.87 and 71.71 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.55 : 147.87 = 71.71 : x
  2. Step 2: Convert to fraction form
    98.55/147.87 = 71.71/x
  3. Step 3: Cross multiply
    98.55x = 147.87 × 71.71
  4. Step 4: Simplify right side
    98.55x = 10,603.39
  5. Step 5: Solve for x
    x = 10,603.39/98.55
  6. Step 6: Final answer
    x = 107.59

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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.