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Finding the Fourth Proportional to 123.02, 184.75 and 77.45

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Solution

The fourth proportional to 123.02, 184.75 and 77.45 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 184.75 = 77.45 : x
  2. Step 2: Convert to fraction form
    123.02/184.75 = 77.45/x
  3. Step 3: Cross multiply
    123.02x = 184.75 × 77.45
  4. Step 4: Simplify right side
    123.02x = 14,308.89
  5. Step 5: Solve for x
    x = 14,308.89/123.02
  6. Step 6: Final answer
    x = 116.31

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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.