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Finding the Fourth Proportional to 123.94, 185.76 and 93.40

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Solution

The fourth proportional to 123.94, 185.76 and 93.40 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.94 : 185.76 = 93.40 : x
  2. Step 2: Convert to fraction form
    123.94/185.76 = 93.40/x
  3. Step 3: Cross multiply
    123.94x = 185.76 × 93.40
  4. Step 4: Simplify right side
    123.94x = 17,349.52
  5. Step 5: Solve for x
    x = 17,349.52/123.94
  6. Step 6: Final answer
    x = 139.99

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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.