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Finding the Fourth Proportional to 158.95, 219.32 and 92.53

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Solution

The fourth proportional to 158.95, 219.32 and 92.53 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 219.32 = 92.53 : x
  2. Step 2: Convert to fraction form
    158.95/219.32 = 92.53/x
  3. Step 3: Cross multiply
    158.95x = 219.32 × 92.53
  4. Step 4: Simplify right side
    158.95x = 20,293.68
  5. Step 5: Solve for x
    x = 20,293.68/158.95
  6. Step 6: Final answer
    x = 127.67

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Why These Related Problems?

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