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Finding the Fourth Proportional to 158.15, 237.10 and 106.64

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Solution

The fourth proportional to 158.15, 237.10 and 106.64 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.15 : 237.10 = 106.64 : x
  2. Step 2: Convert to fraction form
    158.15/237.10 = 106.64/x
  3. Step 3: Cross multiply
    158.15x = 237.10 × 106.64
  4. Step 4: Simplify right side
    158.15x = 25,285.37
  5. Step 5: Solve for x
    x = 25,285.37/158.15
  6. Step 6: Final answer
    x = 159.89

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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.