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Finding the Fourth Proportional to 99.83, 148.98 and 97.52

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Solution

The fourth proportional to 99.83, 148.98 and 97.52 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 148.98 = 97.52 : x
  2. Step 2: Convert to fraction form
    99.83/148.98 = 97.52/x
  3. Step 3: Cross multiply
    99.83x = 148.98 × 97.52
  4. Step 4: Simplify right side
    99.83x = 14,528.15
  5. Step 5: Solve for x
    x = 14,528.15/99.83
  6. Step 6: Final answer
    x = 145.53

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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.