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Finding the Fourth Proportional to 112.35, 154.65 and 84.66

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Solution

The fourth proportional to 112.35, 154.65 and 84.66 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.35 : 154.65 = 84.66 : x
  2. Step 2: Convert to fraction form
    112.35/154.65 = 84.66/x
  3. Step 3: Cross multiply
    112.35x = 154.65 × 84.66
  4. Step 4: Simplify right side
    112.35x = 13,092.67
  5. Step 5: Solve for x
    x = 13,092.67/112.35
  6. Step 6: Final answer
    x = 116.53

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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.