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Finding the Fourth Proportional to 74.13, 102.29 and 50.79

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Solution

The fourth proportional to 74.13, 102.29 and 50.79 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.13 : 102.29 = 50.79 : x
  2. Step 2: Convert to fraction form
    74.13/102.29 = 50.79/x
  3. Step 3: Cross multiply
    74.13x = 102.29 × 50.79
  4. Step 4: Simplify right side
    74.13x = 5,195.06
  5. Step 5: Solve for x
    x = 5,195.06/74.13
  6. Step 6: Final answer
    x = 70.08

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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.