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Finding the Fourth Proportional to 158.63, 218.92 and 99.67

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Solution

The fourth proportional to 158.63, 218.92 and 99.67 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.63 : 218.92 = 99.67 : x
  2. Step 2: Convert to fraction form
    158.63/218.92 = 99.67/x
  3. Step 3: Cross multiply
    158.63x = 218.92 × 99.67
  4. Step 4: Simplify right side
    158.63x = 21,819.76
  5. Step 5: Solve for x
    x = 21,819.76/158.63
  6. Step 6: Final answer
    x = 137.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.