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Finding the Fourth Proportional to 111.57, 153.95 and 89.79

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Solution

The fourth proportional to 111.57, 153.95 and 89.79 is: 123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.57 : 153.95 = 89.79 : x
  2. Step 2: Convert to fraction form
    111.57/153.95 = 89.79/x
  3. Step 3: Cross multiply
    111.57x = 153.95 × 89.79
  4. Step 4: Simplify right side
    111.57x = 13,822.72
  5. Step 5: Solve for x
    x = 13,822.72/111.57
  6. Step 6: Final answer
    x = 123.89

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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.