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Finding the Fourth Proportional to 77.74, 107.10 and 64.57

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Solution

The fourth proportional to 77.74, 107.10 and 64.57 is: 88.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.74 : 107.10 = 64.57 : x
  2. Step 2: Convert to fraction form
    77.74/107.10 = 64.57/x
  3. Step 3: Cross multiply
    77.74x = 107.10 × 64.57
  4. Step 4: Simplify right side
    77.74x = 6,915.45
  5. Step 5: Solve for x
    x = 6,915.45/77.74
  6. Step 6: Final answer
    x = 88.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.