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Finding the Fourth Proportional to 71.64, 107.45 and 26.00

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Solution

The fourth proportional to 71.64, 107.45 and 26.00 is: 38.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 107.45 = 26.00 : x
  2. Step 2: Convert to fraction form
    71.64/107.45 = 26.00/x
  3. Step 3: Cross multiply
    71.64x = 107.45 × 26.00
  4. Step 4: Simplify right side
    71.64x = 2,793.34
  5. Step 5: Solve for x
    x = 2,793.34/71.64
  6. Step 6: Final answer
    x = 38.99

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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.