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Finding the Fourth Proportional to 76.05, 105 and 51.53

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Solution

The fourth proportional to 76.05, 105 and 51.53 is: 71.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 105 = 51.53 : x
  2. Step 2: Convert to fraction form
    76.05/105 = 51.53/x
  3. Step 3: Cross multiply
    76.05x = 105 × 51.53
  4. Step 4: Simplify right side
    76.05x = 5,410.65
  5. Step 5: Solve for x
    x = 5,410.65/76.05
  6. Step 6: Final answer
    x = 71.15

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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.