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Finding the Fourth Proportional to 157.39, 236.06 and 47.71

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Solution

The fourth proportional to 157.39, 236.06 and 47.71 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.39 : 236.06 = 47.71 : x
  2. Step 2: Convert to fraction form
    157.39/236.06 = 47.71/x
  3. Step 3: Cross multiply
    157.39x = 236.06 × 47.71
  4. Step 4: Simplify right side
    157.39x = 11,263.59
  5. Step 5: Solve for x
    x = 11,263.59/157.39
  6. Step 6: Final answer
    x = 71.56

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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.