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Finding the Fourth Proportional to 112.10, 154.56 and 91.30

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Solution

The fourth proportional to 112.10, 154.56 and 91.30 is: 125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 154.56 = 91.30 : x
  2. Step 2: Convert to fraction form
    112.10/154.56 = 91.30/x
  3. Step 3: Cross multiply
    112.10x = 154.56 × 91.30
  4. Step 4: Simplify right side
    112.10x = 14,111.33
  5. Step 5: Solve for x
    x = 14,111.33/112.10
  6. Step 6: Final answer
    x = 125.88

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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.