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Finding the Fourth Proportional to 82.85, 114.26 and 53.78

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Solution

The fourth proportional to 82.85, 114.26 and 53.78 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 114.26 = 53.78 : x
  2. Step 2: Convert to fraction form
    82.85/114.26 = 53.78/x
  3. Step 3: Cross multiply
    82.85x = 114.26 × 53.78
  4. Step 4: Simplify right side
    82.85x = 6,144.06
  5. Step 5: Solve for x
    x = 6,144.06/82.85
  6. Step 6: Final answer
    x = 74.16

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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.