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Finding the Fourth Proportional to 130.77, 195.12 and 123.03

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Solution

The fourth proportional to 130.77, 195.12 and 123.03 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 195.12 = 123.03 : x
  2. Step 2: Convert to fraction form
    130.77/195.12 = 123.03/x
  3. Step 3: Cross multiply
    130.77x = 195.12 × 123.03
  4. Step 4: Simplify right side
    130.77x = 24,005.61
  5. Step 5: Solve for x
    x = 24,005.61/130.77
  6. Step 6: Final answer
    x = 183.57

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Why These Related Problems?

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