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Finding the Fourth Proportional to 49.30, 68.05 and 32.93

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Solution

The fourth proportional to 49.30, 68.05 and 32.93 is: 45.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.30 : 68.05 = 32.93 : x
  2. Step 2: Convert to fraction form
    49.30/68.05 = 32.93/x
  3. Step 3: Cross multiply
    49.30x = 68.05 × 32.93
  4. Step 4: Simplify right side
    49.30x = 2,240.89
  5. Step 5: Solve for x
    x = 2,240.89/49.30
  6. Step 6: Final answer
    x = 45.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.