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Finding the Fourth Proportional to 158.87, 238.54 and 101.46

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Solution

The fourth proportional to 158.87, 238.54 and 101.46 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.87 : 238.54 = 101.46 : x
  2. Step 2: Convert to fraction form
    158.87/238.54 = 101.46/x
  3. Step 3: Cross multiply
    158.87x = 238.54 × 101.46
  4. Step 4: Simplify right side
    158.87x = 24,202.01
  5. Step 5: Solve for x
    x = 24,202.01/158.87
  6. Step 6: Final answer
    x = 152.34

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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.