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Finding the Fourth Proportional to 106.40, 159.52 and 41.37

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Solution

The fourth proportional to 106.40, 159.52 and 41.37 is: 62.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.40 : 159.52 = 41.37 : x
  2. Step 2: Convert to fraction form
    106.40/159.52 = 41.37/x
  3. Step 3: Cross multiply
    106.40x = 159.52 × 41.37
  4. Step 4: Simplify right side
    106.40x = 6,599.34
  5. Step 5: Solve for x
    x = 6,599.34/106.40
  6. Step 6: Final answer
    x = 62.02

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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.