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Finding the Fourth Proportional to 74.34, 102.59 and 41.60

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Solution

The fourth proportional to 74.34, 102.59 and 41.60 is: 57.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.34 : 102.59 = 41.60 : x
  2. Step 2: Convert to fraction form
    74.34/102.59 = 41.60/x
  3. Step 3: Cross multiply
    74.34x = 102.59 × 41.60
  4. Step 4: Simplify right side
    74.34x = 4,267.56
  5. Step 5: Solve for x
    x = 4,267.56/74.34
  6. Step 6: Final answer
    x = 57.41

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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.