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Finding the Fourth Proportional to 123.64, 185.34 and 74.89

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Solution

The fourth proportional to 123.64, 185.34 and 74.89 is: 112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 185.34 = 74.89 : x
  2. Step 2: Convert to fraction form
    123.64/185.34 = 74.89/x
  3. Step 3: Cross multiply
    123.64x = 185.34 × 74.89
  4. Step 4: Simplify right side
    123.64x = 13,880.11
  5. Step 5: Solve for x
    x = 13,880.11/123.64
  6. Step 6: Final answer
    x = 112.26

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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.