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Finding the Fourth Proportional to 76.51, 114.77 and 30.24

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Solution

The fourth proportional to 76.51, 114.77 and 30.24 is: 45.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 114.77 = 30.24 : x
  2. Step 2: Convert to fraction form
    76.51/114.77 = 30.24/x
  3. Step 3: Cross multiply
    76.51x = 114.77 × 30.24
  4. Step 4: Simplify right side
    76.51x = 3,470.64
  5. Step 5: Solve for x
    x = 3,470.64/76.51
  6. Step 6: Final answer
    x = 45.36

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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.