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Finding the Fourth Proportional to 97.02, 145.34 and 76.67

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Solution

The fourth proportional to 97.02, 145.34 and 76.67 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.02 : 145.34 = 76.67 : x
  2. Step 2: Convert to fraction form
    97.02/145.34 = 76.67/x
  3. Step 3: Cross multiply
    97.02x = 145.34 × 76.67
  4. Step 4: Simplify right side
    97.02x = 11,142.94
  5. Step 5: Solve for x
    x = 11,142.94/97.02
  6. Step 6: Final answer
    x = 114.85

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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.