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Finding the Fourth Proportional to 112.17, 154.46 and 103.47

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Solution

The fourth proportional to 112.17, 154.46 and 103.47 is: 142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 154.46 = 103.47 : x
  2. Step 2: Convert to fraction form
    112.17/154.46 = 103.47/x
  3. Step 3: Cross multiply
    112.17x = 154.46 × 103.47
  4. Step 4: Simplify right side
    112.17x = 15,981.46
  5. Step 5: Solve for x
    x = 15,981.46/112.17
  6. Step 6: Final answer
    x = 142.48

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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.