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Finding the Fourth Proportional to 76.52, 114.54 and 52.34

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Solution

The fourth proportional to 76.52, 114.54 and 52.34 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 114.54 = 52.34 : x
  2. Step 2: Convert to fraction form
    76.52/114.54 = 52.34/x
  3. Step 3: Cross multiply
    76.52x = 114.54 × 52.34
  4. Step 4: Simplify right side
    76.52x = 5,995.02
  5. Step 5: Solve for x
    x = 5,995.02/76.52
  6. Step 6: Final answer
    x = 78.35

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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.