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Finding the Fourth Proportional to 158.06, 237.12 and 49.84

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Solution

The fourth proportional to 158.06, 237.12 and 49.84 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.06 : 237.12 = 49.84 : x
  2. Step 2: Convert to fraction form
    158.06/237.12 = 49.84/x
  3. Step 3: Cross multiply
    158.06x = 237.12 × 49.84
  4. Step 4: Simplify right side
    158.06x = 11,818.06
  5. Step 5: Solve for x
    x = 11,818.06/158.06
  6. Step 6: Final answer
    x = 74.77

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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.