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Finding the Fourth Proportional to 142.91, 214.76 and 91.67

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Solution

The fourth proportional to 142.91, 214.76 and 91.67 is: 137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.91 : 214.76 = 91.67 : x
  2. Step 2: Convert to fraction form
    142.91/214.76 = 91.67/x
  3. Step 3: Cross multiply
    142.91x = 214.76 × 91.67
  4. Step 4: Simplify right side
    142.91x = 19,687.82
  5. Step 5: Solve for x
    x = 19,687.82/142.91
  6. Step 6: Final answer
    x = 137.77

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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.