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Finding the Fourth Proportional to 72.47, 100.01 and 49.16

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Solution

The fourth proportional to 72.47, 100.01 and 49.16 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.47 : 100.01 = 49.16 : x
  2. Step 2: Convert to fraction form
    72.47/100.01 = 49.16/x
  3. Step 3: Cross multiply
    72.47x = 100.01 × 49.16
  4. Step 4: Simplify right side
    72.47x = 4,916.16
  5. Step 5: Solve for x
    x = 4,916.16/72.47
  6. Step 6: Final answer
    x = 67.84

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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.