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Finding the Fourth Proportional to 111.60, 154.04 and 89.76

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Solution

The fourth proportional to 111.60, 154.04 and 89.76 is: 123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 154.04 = 89.76 : x
  2. Step 2: Convert to fraction form
    111.60/154.04 = 89.76/x
  3. Step 3: Cross multiply
    111.60x = 154.04 × 89.76
  4. Step 4: Simplify right side
    111.60x = 13,826.63
  5. Step 5: Solve for x
    x = 13,826.63/111.60
  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.