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Finding the Fourth Proportional to 71.09, 106.52 and 40.58

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Solution

The fourth proportional to 71.09, 106.52 and 40.58 is: 60.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 106.52 = 40.58 : x
  2. Step 2: Convert to fraction form
    71.09/106.52 = 40.58/x
  3. Step 3: Cross multiply
    71.09x = 106.52 × 40.58
  4. Step 4: Simplify right side
    71.09x = 4,322.38
  5. Step 5: Solve for x
    x = 4,322.38/71.09
  6. Step 6: Final answer
    x = 60.80

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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.