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Finding the Fourth Proportional to 111.29, 153.23 and 89.42

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Solution

The fourth proportional to 111.29, 153.23 and 89.42 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.29 : 153.23 = 89.42 : x
  2. Step 2: Convert to fraction form
    111.29/153.23 = 89.42/x
  3. Step 3: Cross multiply
    111.29x = 153.23 × 89.42
  4. Step 4: Simplify right side
    111.29x = 13,700.61
  5. Step 5: Solve for x
    x = 13,700.61/111.29
  6. Step 6: Final answer
    x = 123.11

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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.