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Finding the Fourth Proportional to 77.58, 116.33 and 64.82

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Solution

The fourth proportional to 77.58, 116.33 and 64.82 is: 97.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.58 : 116.33 = 64.82 : x
  2. Step 2: Convert to fraction form
    77.58/116.33 = 64.82/x
  3. Step 3: Cross multiply
    77.58x = 116.33 × 64.82
  4. Step 4: Simplify right side
    77.58x = 7,539.93
  5. Step 5: Solve for x
    x = 7,539.93/77.58
  6. Step 6: Final answer
    x = 97.20

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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.