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Finding the Fourth Proportional to 74.14, 102.32 and 43.06

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Solution

The fourth proportional to 74.14, 102.32 and 43.06 is: 59.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 102.32 = 43.06 : x
  2. Step 2: Convert to fraction form
    74.14/102.32 = 43.06/x
  3. Step 3: Cross multiply
    74.14x = 102.32 × 43.06
  4. Step 4: Simplify right side
    74.14x = 4,405.83
  5. Step 5: Solve for x
    x = 4,405.83/74.14
  6. Step 6: Final answer
    x = 59.42

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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.