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Finding the Fourth Proportional to 76.65, 105.83 and 49.06

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Solution

The fourth proportional to 76.65, 105.83 and 49.06 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 105.83 = 49.06 : x
  2. Step 2: Convert to fraction form
    76.65/105.83 = 49.06/x
  3. Step 3: Cross multiply
    76.65x = 105.83 × 49.06
  4. Step 4: Simplify right side
    76.65x = 5,192.02
  5. Step 5: Solve for x
    x = 5,192.02/76.65
  6. Step 6: Final answer
    x = 67.74

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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.