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Finding the Fourth Proportional to 74.16, 102.34 and 40.97

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Solution

The fourth proportional to 74.16, 102.34 and 40.97 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.16 : 102.34 = 40.97 : x
  2. Step 2: Convert to fraction form
    74.16/102.34 = 40.97/x
  3. Step 3: Cross multiply
    74.16x = 102.34 × 40.97
  4. Step 4: Simplify right side
    74.16x = 4,192.87
  5. Step 5: Solve for x
    x = 4,192.87/74.16
  6. Step 6: Final answer
    x = 56.54

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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.