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Finding the Fourth Proportional to 76.51, 115.45 and 76.51

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Solution

The fourth proportional to 76.51, 115.45 and 76.51 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 115.45 = 76.51 : x
  2. Step 2: Convert to fraction form
    76.51/115.45 = 76.51/x
  3. Step 3: Cross multiply
    76.51x = 115.45 × 76.51
  4. Step 4: Simplify right side
    76.51x = 8,833.08
  5. Step 5: Solve for x
    x = 8,833.08/76.51
  6. Step 6: Final answer
    x = 115.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.