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Finding the Fourth Proportional to 77.34, 106.64 and 53.70

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Solution

The fourth proportional to 77.34, 106.64 and 53.70 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 106.64 = 53.70 : x
  2. Step 2: Convert to fraction form
    77.34/106.64 = 53.70/x
  3. Step 3: Cross multiply
    77.34x = 106.64 × 53.70
  4. Step 4: Simplify right side
    77.34x = 5,726.57
  5. Step 5: Solve for x
    x = 5,726.57/77.34
  6. Step 6: Final answer
    x = 74.04

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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.