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Finding the Fourth Proportional to 90.08, 124.16 and 72.80

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Solution

The fourth proportional to 90.08, 124.16 and 72.80 is: 100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.08 : 124.16 = 72.80 : x
  2. Step 2: Convert to fraction form
    90.08/124.16 = 72.80/x
  3. Step 3: Cross multiply
    90.08x = 124.16 × 72.80
  4. Step 4: Simplify right side
    90.08x = 9,038.85
  5. Step 5: Solve for x
    x = 9,038.85/90.08
  6. Step 6: Final answer
    x = 100.34

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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.