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Finding the Fourth Proportional to 112.64, 154.64 and 101.66

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Solution

The fourth proportional to 112.64, 154.64 and 101.66 is: 139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 154.64 = 101.66 : x
  2. Step 2: Convert to fraction form
    112.64/154.64 = 101.66/x
  3. Step 3: Cross multiply
    112.64x = 154.64 × 101.66
  4. Step 4: Simplify right side
    112.64x = 15,720.70
  5. Step 5: Solve for x
    x = 15,720.70/112.64
  6. Step 6: Final answer
    x = 139.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.