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Finding the Fourth Proportional to 77.52, 116.23 and 64.76

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Solution

The fourth proportional to 77.52, 116.23 and 64.76 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 116.23 = 64.76 : x
  2. Step 2: Convert to fraction form
    77.52/116.23 = 64.76/x
  3. Step 3: Cross multiply
    77.52x = 116.23 × 64.76
  4. Step 4: Simplify right side
    77.52x = 7,527.05
  5. Step 5: Solve for x
    x = 7,527.05/77.52
  6. Step 6: Final answer
    x = 97.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.