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Finding the Fourth Proportional to 98.52, 147.02 and 92.14

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Solution

The fourth proportional to 98.52, 147.02 and 92.14 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 147.02 = 92.14 : x
  2. Step 2: Convert to fraction form
    98.52/147.02 = 92.14/x
  3. Step 3: Cross multiply
    98.52x = 147.02 × 92.14
  4. Step 4: Simplify right side
    98.52x = 13,545.59
  5. Step 5: Solve for x
    x = 13,545.59/98.52
  6. Step 6: Final answer
    x = 137.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.