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Finding the Fourth Proportional to 110.66, 152.84 and 83.15

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Solution

The fourth proportional to 110.66, 152.84 and 83.15 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 152.84 = 83.15 : x
  2. Step 2: Convert to fraction form
    110.66/152.84 = 83.15/x
  3. Step 3: Cross multiply
    110.66x = 152.84 × 83.15
  4. Step 4: Simplify right side
    110.66x = 12,707.47
  5. Step 5: Solve for x
    x = 12,707.47/110.66
  6. Step 6: Final answer
    x = 114.84

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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.