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Finding the Fourth Proportional to 92.77, 127.95 and 66.49

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Solution

The fourth proportional to 92.77, 127.95 and 66.49 is: 91.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.77 : 127.95 = 66.49 : x
  2. Step 2: Convert to fraction form
    92.77/127.95 = 66.49/x
  3. Step 3: Cross multiply
    92.77x = 127.95 × 66.49
  4. Step 4: Simplify right side
    92.77x = 8,507.40
  5. Step 5: Solve for x
    x = 8,507.40/92.77
  6. Step 6: Final answer
    x = 91.70

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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.