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Finding the Fourth Proportional to 158.24, 237.18 and 70.34

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Solution

The fourth proportional to 158.24, 237.18 and 70.34 is: 105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 237.18 = 70.34 : x
  2. Step 2: Convert to fraction form
    158.24/237.18 = 70.34/x
  3. Step 3: Cross multiply
    158.24x = 237.18 × 70.34
  4. Step 4: Simplify right side
    158.24x = 16,683.24
  5. Step 5: Solve for x
    x = 16,683.24/158.24
  6. Step 6: Final answer
    x = 105.43

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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.