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Finding the Fourth Proportional to 74.66, 112.02 and 34.07

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Solution

The fourth proportional to 74.66, 112.02 and 34.07 is: 51.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 112.02 = 34.07 : x
  2. Step 2: Convert to fraction form
    74.66/112.02 = 34.07/x
  3. Step 3: Cross multiply
    74.66x = 112.02 × 34.07
  4. Step 4: Simplify right side
    74.66x = 3,816.75
  5. Step 5: Solve for x
    x = 3,816.75/74.66
  6. Step 6: Final answer
    x = 51.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.