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Finding the Fourth Proportional to 112.78, 155.52 and 96.46

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Solution

The fourth proportional to 112.78, 155.52 and 96.46 is: 133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 155.52 = 96.46 : x
  2. Step 2: Convert to fraction form
    112.78/155.52 = 96.46/x
  3. Step 3: Cross multiply
    112.78x = 155.52 × 96.46
  4. Step 4: Simplify right side
    112.78x = 15,001.46
  5. Step 5: Solve for x
    x = 15,001.46/112.78
  6. Step 6: Final answer
    x = 133.02

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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.