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Finding the Fourth Proportional to 77.19, 106.55 and 49.58

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Solution

The fourth proportional to 77.19, 106.55 and 49.58 is: 68.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 106.55 = 49.58 : x
  2. Step 2: Convert to fraction form
    77.19/106.55 = 49.58/x
  3. Step 3: Cross multiply
    77.19x = 106.55 × 49.58
  4. Step 4: Simplify right side
    77.19x = 5,282.55
  5. Step 5: Solve for x
    x = 5,282.55/77.19
  6. Step 6: Final answer
    x = 68.44

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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.