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Finding the Fourth Proportional to 78.30, 117.32 and 51.23

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Solution

The fourth proportional to 78.30, 117.32 and 51.23 is: 76.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 117.32 = 51.23 : x
  2. Step 2: Convert to fraction form
    78.30/117.32 = 51.23/x
  3. Step 3: Cross multiply
    78.30x = 117.32 × 51.23
  4. Step 4: Simplify right side
    78.30x = 6,010.34
  5. Step 5: Solve for x
    x = 6,010.34/78.30
  6. Step 6: Final answer
    x = 76.76

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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.