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Finding the Fourth Proportional to 92.49, 127.55 and 59.75

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Solution

The fourth proportional to 92.49, 127.55 and 59.75 is: 82.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.49 : 127.55 = 59.75 : x
  2. Step 2: Convert to fraction form
    92.49/127.55 = 59.75/x
  3. Step 3: Cross multiply
    92.49x = 127.55 × 59.75
  4. Step 4: Simplify right side
    92.49x = 7,620.81
  5. Step 5: Solve for x
    x = 7,620.81/92.49
  6. Step 6: Final answer
    x = 82.40

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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.