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Finding the Fourth Proportional to 82.91, 114.35 and 53.41

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Solution

The fourth proportional to 82.91, 114.35 and 53.41 is: 73.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 114.35 = 53.41 : x
  2. Step 2: Convert to fraction form
    82.91/114.35 = 53.41/x
  3. Step 3: Cross multiply
    82.91x = 114.35 × 53.41
  4. Step 4: Simplify right side
    82.91x = 6,107.71
  5. Step 5: Solve for x
    x = 6,107.71/82.91
  6. Step 6: Final answer
    x = 73.66

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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.