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Finding the Fourth Proportional to 123.80, 184.58 and 112.40

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Solution

The fourth proportional to 123.80, 184.58 and 112.40 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.80 : 184.58 = 112.40 : x
  2. Step 2: Convert to fraction form
    123.80/184.58 = 112.40/x
  3. Step 3: Cross multiply
    123.80x = 184.58 × 112.40
  4. Step 4: Simplify right side
    123.80x = 20,746.79
  5. Step 5: Solve for x
    x = 20,746.79/123.80
  6. Step 6: Final answer
    x = 167.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.