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Finding the Fourth Proportional to 72.65, 100.19 and 49.32

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Solution

The fourth proportional to 72.65, 100.19 and 49.32 is: 68.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.65 : 100.19 = 49.32 : x
  2. Step 2: Convert to fraction form
    72.65/100.19 = 49.32/x
  3. Step 3: Cross multiply
    72.65x = 100.19 × 49.32
  4. Step 4: Simplify right side
    72.65x = 4,941.49
  5. Step 5: Solve for x
    x = 4,941.49/72.65
  6. Step 6: Final answer
    x = 68.02

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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.