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Finding the Fourth Proportional to 110.66, 152.72 and 61.55

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Solution

The fourth proportional to 110.66, 152.72 and 61.55 is: 84.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.72 = 61.55 : x
  2. Step 2: Convert to fraction form
    110.66/152.72 = 61.55/x
  3. Step 3: Cross multiply
    110.66x = 152.72 × 61.55
  4. Step 4: Simplify right side
    110.66x = 9,398.84
  5. Step 5: Solve for x
    x = 9,398.84/110.66
  6. Step 6: Final answer
    x = 84.94

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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.