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Finding the Fourth Proportional to 76.23, 113.80 and 65.40

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Solution

The fourth proportional to 76.23, 113.80 and 65.40 is: 97.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 113.80 = 65.40 : x
  2. Step 2: Convert to fraction form
    76.23/113.80 = 65.40/x
  3. Step 3: Cross multiply
    76.23x = 113.80 × 65.40
  4. Step 4: Simplify right side
    76.23x = 7,442.24
  5. Step 5: Solve for x
    x = 7,442.24/76.23
  6. Step 6: Final answer
    x = 97.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.