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Finding the Fourth Proportional to 110.64, 152.52 and 84.42

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Solution

The fourth proportional to 110.64, 152.52 and 84.42 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 152.52 = 84.42 : x
  2. Step 2: Convert to fraction form
    110.64/152.52 = 84.42/x
  3. Step 3: Cross multiply
    110.64x = 152.52 × 84.42
  4. Step 4: Simplify right side
    110.64x = 12,875.74
  5. Step 5: Solve for x
    x = 12,875.74/110.64
  6. Step 6: Final answer
    x = 116.38

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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.