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Finding the Fourth Proportional to 71.19, 106.74 and 23.07

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Solution

The fourth proportional to 71.19, 106.74 and 23.07 is: 34.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 106.74 = 23.07 : x
  2. Step 2: Convert to fraction form
    71.19/106.74 = 23.07/x
  3. Step 3: Cross multiply
    71.19x = 106.74 × 23.07
  4. Step 4: Simplify right side
    71.19x = 2,462.49
  5. Step 5: Solve for x
    x = 2,462.49/71.19
  6. Step 6: Final answer
    x = 34.59

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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.