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Finding the Fourth Proportional to 42.00, 63.01 and 29.95

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Solution

The fourth proportional to 42.00, 63.01 and 29.95 is: 44.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.00 : 63.01 = 29.95 : x
  2. Step 2: Convert to fraction form
    42.00/63.01 = 29.95/x
  3. Step 3: Cross multiply
    42.00x = 63.01 × 29.95
  4. Step 4: Simplify right side
    42.00x = 1,887.38
  5. Step 5: Solve for x
    x = 1,887.38/42.00
  6. Step 6: Final answer
    x = 44.94

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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.