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Finding the Fourth Proportional to 76.07, 104.97 and 43.32

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Solution

The fourth proportional to 76.07, 104.97 and 43.32 is: 59.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 104.97 = 43.32 : x
  2. Step 2: Convert to fraction form
    76.07/104.97 = 43.32/x
  3. Step 3: Cross multiply
    76.07x = 104.97 × 43.32
  4. Step 4: Simplify right side
    76.07x = 4,547.30
  5. Step 5: Solve for x
    x = 4,547.30/76.07
  6. Step 6: Final answer
    x = 59.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.