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Finding the Fourth Proportional to 89.76, 124.08 and 78.60

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Solution

The fourth proportional to 89.76, 124.08 and 78.60 is: 108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.76 : 124.08 = 78.60 : x
  2. Step 2: Convert to fraction form
    89.76/124.08 = 78.60/x
  3. Step 3: Cross multiply
    89.76x = 124.08 × 78.60
  4. Step 4: Simplify right side
    89.76x = 9,752.25
  5. Step 5: Solve for x
    x = 9,752.25/89.76
  6. Step 6: Final answer
    x = 108.65

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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.