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Finding the Fourth Proportional to 106.32, 147.72 and 104.52

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Solution

The fourth proportional to 106.32, 147.72 and 104.52 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 147.72 = 104.52 : x
  2. Step 2: Convert to fraction form
    106.32/147.72 = 104.52/x
  3. Step 3: Cross multiply
    106.32x = 147.72 × 104.52
  4. Step 4: Simplify right side
    106.32x = 15,439.69
  5. Step 5: Solve for x
    x = 15,439.69/106.32
  6. Step 6: Final answer
    x = 145.22

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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.