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Finding the Fourth Proportional to 99.52, 147.52 and 98.08

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Solution

The fourth proportional to 99.52, 147.52 and 98.08 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 147.52 = 98.08 : x
  2. Step 2: Convert to fraction form
    99.52/147.52 = 98.08/x
  3. Step 3: Cross multiply
    99.52x = 147.52 × 98.08
  4. Step 4: Simplify right side
    99.52x = 14,468.76
  5. Step 5: Solve for x
    x = 14,468.76/99.52
  6. Step 6: Final answer
    x = 145.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.