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Finding the Fourth Proportional to 90.54, 124.92 and 57.84

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Solution

The fourth proportional to 90.54, 124.92 and 57.84 is: 79.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 124.92 = 57.84 : x
  2. Step 2: Convert to fraction form
    90.54/124.92 = 57.84/x
  3. Step 3: Cross multiply
    90.54x = 124.92 × 57.84
  4. Step 4: Simplify right side
    90.54x = 7,225.37
  5. Step 5: Solve for x
    x = 7,225.37/90.54
  6. Step 6: Final answer
    x = 79.80

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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.