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Finding the Fourth Proportional to 183.71, 275.71 and 97.06

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Solution

The fourth proportional to 183.71, 275.71 and 97.06 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.71 : 275.71 = 97.06 : x
  2. Step 2: Convert to fraction form
    183.71/275.71 = 97.06/x
  3. Step 3: Cross multiply
    183.71x = 275.71 × 97.06
  4. Step 4: Simplify right side
    183.71x = 26,760.41
  5. Step 5: Solve for x
    x = 26,760.41/183.71
  6. Step 6: Final answer
    x = 145.67

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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.