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Finding the Fourth Proportional to 90.46, 135.56 and 51.92

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Solution

The fourth proportional to 90.46, 135.56 and 51.92 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.46 : 135.56 = 51.92 : x
  2. Step 2: Convert to fraction form
    90.46/135.56 = 51.92/x
  3. Step 3: Cross multiply
    90.46x = 135.56 × 51.92
  4. Step 4: Simplify right side
    90.46x = 7,038.28
  5. Step 5: Solve for x
    x = 7,038.28/90.46
  6. Step 6: Final answer
    x = 77.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.