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Finding the Fourth Proportional to 76.29, 113.58 and 72.81

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Solution

The fourth proportional to 76.29, 113.58 and 72.81 is: 108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 113.58 = 72.81 : x
  2. Step 2: Convert to fraction form
    76.29/113.58 = 72.81/x
  3. Step 3: Cross multiply
    76.29x = 113.58 × 72.81
  4. Step 4: Simplify right side
    76.29x = 8,269.76
  5. Step 5: Solve for x
    x = 8,269.76/76.29
  6. Step 6: Final answer
    x = 108.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.