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Finding the Fourth Proportional to 130.57, 196.95 and 123.08

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Solution

The fourth proportional to 130.57, 196.95 and 123.08 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 196.95 = 123.08 : x
  2. Step 2: Convert to fraction form
    130.57/196.95 = 123.08/x
  3. Step 3: Cross multiply
    130.57x = 196.95 × 123.08
  4. Step 4: Simplify right side
    130.57x = 24,240.61
  5. Step 5: Solve for x
    x = 24,240.61/130.57
  6. Step 6: Final answer
    x = 185.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.