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Finding the Fourth Proportional to 131.72, 197.50 and 70.83

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Solution

The fourth proportional to 131.72, 197.50 and 70.83 is: 106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.72 : 197.50 = 70.83 : x
  2. Step 2: Convert to fraction form
    131.72/197.50 = 70.83/x
  3. Step 3: Cross multiply
    131.72x = 197.50 × 70.83
  4. Step 4: Simplify right side
    131.72x = 13,988.93
  5. Step 5: Solve for x
    x = 13,988.93/131.72
  6. Step 6: Final answer
    x = 106.20

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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.