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Finding the Fourth Proportional to 111.02, 153.17 and 86.52

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Solution

The fourth proportional to 111.02, 153.17 and 86.52 is: 119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 153.17 = 86.52 : x
  2. Step 2: Convert to fraction form
    111.02/153.17 = 86.52/x
  3. Step 3: Cross multiply
    111.02x = 153.17 × 86.52
  4. Step 4: Simplify right side
    111.02x = 13,251.63
  5. Step 5: Solve for x
    x = 13,251.63/111.02
  6. Step 6: Final answer
    x = 119.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.