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Finding the Fourth Proportional to 113.76, 170.25 and 99.99

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Solution

The fourth proportional to 113.76, 170.25 and 99.99 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 170.25 = 99.99 : x
  2. Step 2: Convert to fraction form
    113.76/170.25 = 99.99/x
  3. Step 3: Cross multiply
    113.76x = 170.25 × 99.99
  4. Step 4: Simplify right side
    113.76x = 17,023.30
  5. Step 5: Solve for x
    x = 17,023.30/113.76
  6. Step 6: Final answer
    x = 149.64

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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.