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Finding the Fourth Proportional to 92.74, 128 and 55.92

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Solution

The fourth proportional to 92.74, 128 and 55.92 is: 77.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.74 : 128 = 55.92 : x
  2. Step 2: Convert to fraction form
    92.74/128 = 55.92/x
  3. Step 3: Cross multiply
    92.74x = 128 × 55.92
  4. Step 4: Simplify right side
    92.74x = 7,157.76
  5. Step 5: Solve for x
    x = 7,157.76/92.74
  6. Step 6: Final answer
    x = 77.18

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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.