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Finding the Fourth Proportional to 110.61, 152.35 and 85.97

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Solution

The fourth proportional to 110.61, 152.35 and 85.97 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.61 : 152.35 = 85.97 : x
  2. Step 2: Convert to fraction form
    110.61/152.35 = 85.97/x
  3. Step 3: Cross multiply
    110.61x = 152.35 × 85.97
  4. Step 4: Simplify right side
    110.61x = 13,097.70
  5. Step 5: Solve for x
    x = 13,097.70/110.61
  6. Step 6: Final answer
    x = 118.41

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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.