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Finding the Fourth Proportional to 77.13, 106.47 and 53.84

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Solution

The fourth proportional to 77.13, 106.47 and 53.84 is: 74.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 106.47 = 53.84 : x
  2. Step 2: Convert to fraction form
    77.13/106.47 = 53.84/x
  3. Step 3: Cross multiply
    77.13x = 106.47 × 53.84
  4. Step 4: Simplify right side
    77.13x = 5,732.34
  5. Step 5: Solve for x
    x = 5,732.34/77.13
  6. Step 6: Final answer
    x = 74.32

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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.