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Finding the Fourth Proportional to 90.22, 124.48 and 57.46

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Solution

The fourth proportional to 90.22, 124.48 and 57.46 is: 79.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.22 : 124.48 = 57.46 : x
  2. Step 2: Convert to fraction form
    90.22/124.48 = 57.46/x
  3. Step 3: Cross multiply
    90.22x = 124.48 × 57.46
  4. Step 4: Simplify right side
    90.22x = 7,152.62
  5. Step 5: Solve for x
    x = 7,152.62/90.22
  6. Step 6: Final answer
    x = 79.28

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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.