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Finding the Fourth Proportional to 91.55, 126.35 and 52.21

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Solution

The fourth proportional to 91.55, 126.35 and 52.21 is: 72.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.55 : 126.35 = 52.21 : x
  2. Step 2: Convert to fraction form
    91.55/126.35 = 52.21/x
  3. Step 3: Cross multiply
    91.55x = 126.35 × 52.21
  4. Step 4: Simplify right side
    91.55x = 6,596.47
  5. Step 5: Solve for x
    x = 6,596.47/91.55
  6. Step 6: Final answer
    x = 72.05

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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.