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Finding the Fourth Proportional to 73.13, 109.70 and 31.99

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Solution

The fourth proportional to 73.13, 109.70 and 31.99 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 109.70 = 31.99 : x
  2. Step 2: Convert to fraction form
    73.13/109.70 = 31.99/x
  3. Step 3: Cross multiply
    73.13x = 109.70 × 31.99
  4. Step 4: Simplify right side
    73.13x = 3,509.14
  5. Step 5: Solve for x
    x = 3,509.14/73.13
  6. Step 6: Final answer
    x = 47.99

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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.