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Finding the Fourth Proportional to 110.78, 152.93 and 81.76

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Solution

The fourth proportional to 110.78, 152.93 and 81.76 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 152.93 = 81.76 : x
  2. Step 2: Convert to fraction form
    110.78/152.93 = 81.76/x
  3. Step 3: Cross multiply
    110.78x = 152.93 × 81.76
  4. Step 4: Simplify right side
    110.78x = 12,502.38
  5. Step 5: Solve for x
    x = 12,502.38/110.78
  6. Step 6: Final answer
    x = 112.86

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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.