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Finding the Fourth Proportional to 72.04, 107.85 and 71.14

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Solution

The fourth proportional to 72.04, 107.85 and 71.14 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.04 : 107.85 = 71.14 : x
  2. Step 2: Convert to fraction form
    72.04/107.85 = 71.14/x
  3. Step 3: Cross multiply
    72.04x = 107.85 × 71.14
  4. Step 4: Simplify right side
    72.04x = 7,672.45
  5. Step 5: Solve for x
    x = 7,672.45/72.04
  6. Step 6: Final answer
    x = 106.50

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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.