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Finding the Fourth Proportional to 70.07, 104.93 and 47.18

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Solution

The fourth proportional to 70.07, 104.93 and 47.18 is: 70.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.07 : 104.93 = 47.18 : x
  2. Step 2: Convert to fraction form
    70.07/104.93 = 47.18/x
  3. Step 3: Cross multiply
    70.07x = 104.93 × 47.18
  4. Step 4: Simplify right side
    70.07x = 4,950.80
  5. Step 5: Solve for x
    x = 4,950.80/70.07
  6. Step 6: Final answer
    x = 70.66

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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.