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Finding the Fourth Proportional to 74.39, 102.66 and 41.64

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Solution

The fourth proportional to 74.39, 102.66 and 41.64 is: 57.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 102.66 = 41.64 : x
  2. Step 2: Convert to fraction form
    74.39/102.66 = 41.64/x
  3. Step 3: Cross multiply
    74.39x = 102.66 × 41.64
  4. Step 4: Simplify right side
    74.39x = 4,275.03
  5. Step 5: Solve for x
    x = 4,275.03/74.39
  6. Step 6: Final answer
    x = 57.47

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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.