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Finding the Fourth Proportional to 144.02, 215.64 and 116.66

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Solution

The fourth proportional to 144.02, 215.64 and 116.66 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 215.64 = 116.66 : x
  2. Step 2: Convert to fraction form
    144.02/215.64 = 116.66/x
  3. Step 3: Cross multiply
    144.02x = 215.64 × 116.66
  4. Step 4: Simplify right side
    144.02x = 25,156.56
  5. Step 5: Solve for x
    x = 25,156.56/144.02
  6. Step 6: Final answer
    x = 174.67

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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.