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Finding the Fourth Proportional to 74.66, 103.01 and 47.02

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Solution

The fourth proportional to 74.66, 103.01 and 47.02 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 103.01 = 47.02 : x
  2. Step 2: Convert to fraction form
    74.66/103.01 = 47.02/x
  3. Step 3: Cross multiply
    74.66x = 103.01 × 47.02
  4. Step 4: Simplify right side
    74.66x = 4,843.04
  5. Step 5: Solve for x
    x = 4,843.04/74.66
  6. Step 6: Final answer
    x = 64.87

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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.