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Finding the Fourth Proportional to 66.49, 91.88 and 52.05

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Solution

The fourth proportional to 66.49, 91.88 and 52.05 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.49 : 91.88 = 52.05 : x
  2. Step 2: Convert to fraction form
    66.49/91.88 = 52.05/x
  3. Step 3: Cross multiply
    66.49x = 91.88 × 52.05
  4. Step 4: Simplify right side
    66.49x = 4,781.63
  5. Step 5: Solve for x
    x = 4,781.63/66.49
  6. Step 6: Final answer
    x = 71.92

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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.