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Finding the Fourth Proportional to 110.95, 152.96 and 74.09

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Solution

The fourth proportional to 110.95, 152.96 and 74.09 is: 102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.95 : 152.96 = 74.09 : x
  2. Step 2: Convert to fraction form
    110.95/152.96 = 74.09/x
  3. Step 3: Cross multiply
    110.95x = 152.96 × 74.09
  4. Step 4: Simplify right side
    110.95x = 11,332.82
  5. Step 5: Solve for x
    x = 11,332.82/110.95
  6. Step 6: Final answer
    x = 102.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.