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Finding the Fourth Proportional to 49.00, 73.57 and 39.34

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Solution

The fourth proportional to 49.00, 73.57 and 39.34 is: 59.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.00 : 73.57 = 39.34 : x
  2. Step 2: Convert to fraction form
    49.00/73.57 = 39.34/x
  3. Step 3: Cross multiply
    49.00x = 73.57 × 39.34
  4. Step 4: Simplify right side
    49.00x = 2,894.24
  5. Step 5: Solve for x
    x = 2,894.24/49.00
  6. Step 6: Final answer
    x = 59.06

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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.