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Finding the Fourth Proportional to 76.29, 114.59 and 65.45

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Solution

The fourth proportional to 76.29, 114.59 and 65.45 is: 98.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 114.59 = 65.45 : x
  2. Step 2: Convert to fraction form
    76.29/114.59 = 65.45/x
  3. Step 3: Cross multiply
    76.29x = 114.59 × 65.45
  4. Step 4: Simplify right side
    76.29x = 7,499.87
  5. Step 5: Solve for x
    x = 7,499.87/76.29
  6. Step 6: Final answer
    x = 98.31

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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.