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Finding the Fourth Proportional to 101.58, 152.26 and 43.78

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Solution

The fourth proportional to 101.58, 152.26 and 43.78 is: 65.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.58 : 152.26 = 43.78 : x
  2. Step 2: Convert to fraction form
    101.58/152.26 = 43.78/x
  3. Step 3: Cross multiply
    101.58x = 152.26 × 43.78
  4. Step 4: Simplify right side
    101.58x = 6,665.94
  5. Step 5: Solve for x
    x = 6,665.94/101.58
  6. Step 6: Final answer
    x = 65.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.