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Finding the Fourth Proportional to 82.95, 114.46 and 49.76

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Solution

The fourth proportional to 82.95, 114.46 and 49.76 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.95 : 114.46 = 49.76 : x
  2. Step 2: Convert to fraction form
    82.95/114.46 = 49.76/x
  3. Step 3: Cross multiply
    82.95x = 114.46 × 49.76
  4. Step 4: Simplify right side
    82.95x = 5,695.53
  5. Step 5: Solve for x
    x = 5,695.53/82.95
  6. Step 6: Final answer
    x = 68.66

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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.