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Finding the Fourth Proportional to 110.74, 152.90 and 86.14

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Solution

The fourth proportional to 110.74, 152.90 and 86.14 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 152.90 = 86.14 : x
  2. Step 2: Convert to fraction form
    110.74/152.90 = 86.14/x
  3. Step 3: Cross multiply
    110.74x = 152.90 × 86.14
  4. Step 4: Simplify right side
    110.74x = 13,170.81
  5. Step 5: Solve for x
    x = 13,170.81/110.74
  6. Step 6: Final answer
    x = 118.93

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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.