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Finding the Fourth Proportional to 92.57, 127.72 and 59.81

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Solution

The fourth proportional to 92.57, 127.72 and 59.81 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.57 : 127.72 = 59.81 : x
  2. Step 2: Convert to fraction form
    92.57/127.72 = 59.81/x
  3. Step 3: Cross multiply
    92.57x = 127.72 × 59.81
  4. Step 4: Simplify right side
    92.57x = 7,638.93
  5. Step 5: Solve for x
    x = 7,638.93/92.57
  6. Step 6: Final answer
    x = 82.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.