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Finding the Fourth Proportional to 83.77, 115.49 and 56.14

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Solution

The fourth proportional to 83.77, 115.49 and 56.14 is: 77.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.77 : 115.49 = 56.14 : x
  2. Step 2: Convert to fraction form
    83.77/115.49 = 56.14/x
  3. Step 3: Cross multiply
    83.77x = 115.49 × 56.14
  4. Step 4: Simplify right side
    83.77x = 6,483.46
  5. Step 5: Solve for x
    x = 6,483.46/83.77
  6. Step 6: Final answer
    x = 77.40

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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.