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Finding the Fourth Proportional to 90.54, 124.95 and 49.10

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Solution

The fourth proportional to 90.54, 124.95 and 49.10 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 124.95 = 49.10 : x
  2. Step 2: Convert to fraction form
    90.54/124.95 = 49.10/x
  3. Step 3: Cross multiply
    90.54x = 124.95 × 49.10
  4. Step 4: Simplify right side
    90.54x = 6,134.24
  5. Step 5: Solve for x
    x = 6,134.24/90.54
  6. Step 6: Final answer
    x = 67.75

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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.