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Finding the Fourth Proportional to 109.90, 152.41 and 99.10

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Solution

The fourth proportional to 109.90, 152.41 and 99.10 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 152.41 = 99.10 : x
  2. Step 2: Convert to fraction form
    109.90/152.41 = 99.10/x
  3. Step 3: Cross multiply
    109.90x = 152.41 × 99.10
  4. Step 4: Simplify right side
    109.90x = 15,103.83
  5. Step 5: Solve for x
    x = 15,103.83/109.90
  6. Step 6: Final answer
    x = 137.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.