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Finding the Fourth Proportional to 123.16, 184.57 and 97.37

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Solution

The fourth proportional to 123.16, 184.57 and 97.37 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 184.57 = 97.37 : x
  2. Step 2: Convert to fraction form
    123.16/184.57 = 97.37/x
  3. Step 3: Cross multiply
    123.16x = 184.57 × 97.37
  4. Step 4: Simplify right side
    123.16x = 17,971.58
  5. Step 5: Solve for x
    x = 17,971.58/123.16
  6. Step 6: Final answer
    x = 145.92

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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.