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Finding the Fourth Proportional to 47.03, 70.29 and 45.95

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Solution

The fourth proportional to 47.03, 70.29 and 45.95 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.03 : 70.29 = 45.95 : x
  2. Step 2: Convert to fraction form
    47.03/70.29 = 45.95/x
  3. Step 3: Cross multiply
    47.03x = 70.29 × 45.95
  4. Step 4: Simplify right side
    47.03x = 3,229.47
  5. Step 5: Solve for x
    x = 3,229.47/47.03
  6. Step 6: Final answer
    x = 68.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.