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Finding the Fourth Proportional to 91.66, 126.48 and 52.84

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Solution

The fourth proportional to 91.66, 126.48 and 52.84 is: 72.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.66 : 126.48 = 52.84 : x
  2. Step 2: Convert to fraction form
    91.66/126.48 = 52.84/x
  3. Step 3: Cross multiply
    91.66x = 126.48 × 52.84
  4. Step 4: Simplify right side
    91.66x = 6,683.20
  5. Step 5: Solve for x
    x = 6,683.20/91.66
  6. Step 6: Final answer
    x = 72.91

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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.