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Finding the Fourth Proportional to 89.76, 124.02 and 86.52

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Solution

The fourth proportional to 89.76, 124.02 and 86.52 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.76 : 124.02 = 86.52 : x
  2. Step 2: Convert to fraction form
    89.76/124.02 = 86.52/x
  3. Step 3: Cross multiply
    89.76x = 124.02 × 86.52
  4. Step 4: Simplify right side
    89.76x = 10,730.21
  5. Step 5: Solve for x
    x = 10,730.21/89.76
  6. Step 6: Final answer
    x = 119.54

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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.