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Finding the Fourth Proportional to 49.30, 73.83 and 42.10

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Solution

The fourth proportional to 49.30, 73.83 and 42.10 is: 63.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.30 : 73.83 = 42.10 : x
  2. Step 2: Convert to fraction form
    49.30/73.83 = 42.10/x
  3. Step 3: Cross multiply
    49.30x = 73.83 × 42.10
  4. Step 4: Simplify right side
    49.30x = 3,108.24
  5. Step 5: Solve for x
    x = 3,108.24/49.30
  6. Step 6: Final answer
    x = 63.05

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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.