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Finding the Fourth Proportional to 77.01, 106.05 and 61.53

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Solution

The fourth proportional to 77.01, 106.05 and 61.53 is: 84.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 106.05 = 61.53 : x
  2. Step 2: Convert to fraction form
    77.01/106.05 = 61.53/x
  3. Step 3: Cross multiply
    77.01x = 106.05 × 61.53
  4. Step 4: Simplify right side
    77.01x = 6,525.26
  5. Step 5: Solve for x
    x = 6,525.26/77.01
  6. Step 6: Final answer
    x = 84.73

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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.