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Finding the Fourth Proportional to 82.76, 114.10 and 53.64

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Solution

The fourth proportional to 82.76, 114.10 and 53.64 is: 73.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.76 : 114.10 = 53.64 : x
  2. Step 2: Convert to fraction form
    82.76/114.10 = 53.64/x
  3. Step 3: Cross multiply
    82.76x = 114.10 × 53.64
  4. Step 4: Simplify right side
    82.76x = 6,120.32
  5. Step 5: Solve for x
    x = 6,120.32/82.76
  6. Step 6: Final answer
    x = 73.95

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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.