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Finding the Fourth Proportional to 158.67, 219.01 and 93.20

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Solution

The fourth proportional to 158.67, 219.01 and 93.20 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.67 : 219.01 = 93.20 : x
  2. Step 2: Convert to fraction form
    158.67/219.01 = 93.20/x
  3. Step 3: Cross multiply
    158.67x = 219.01 × 93.20
  4. Step 4: Simplify right side
    158.67x = 20,411.42
  5. Step 5: Solve for x
    x = 20,411.42/158.67
  6. Step 6: Final answer
    x = 128.64

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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.