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Finding the Fourth Proportional to 49.12, 74.07 and 43.20

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Solution

The fourth proportional to 49.12, 74.07 and 43.20 is: 65.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 74.07 = 43.20 : x
  2. Step 2: Convert to fraction form
    49.12/74.07 = 43.20/x
  3. Step 3: Cross multiply
    49.12x = 74.07 × 43.20
  4. Step 4: Simplify right side
    49.12x = 3,199.82
  5. Step 5: Solve for x
    x = 3,199.82/49.12
  6. Step 6: Final answer
    x = 65.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.