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Finding the Fourth Proportional to 72.65, 109.01 and 34.16

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Solution

The fourth proportional to 72.65, 109.01 and 34.16 is: 51.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.65 : 109.01 = 34.16 : x
  2. Step 2: Convert to fraction form
    72.65/109.01 = 34.16/x
  3. Step 3: Cross multiply
    72.65x = 109.01 × 34.16
  4. Step 4: Simplify right side
    72.65x = 3,723.32
  5. Step 5: Solve for x
    x = 3,723.32/72.65
  6. Step 6: Final answer
    x = 51.25

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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.