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Finding the Fourth Proportional to 130.51, 195.85 and 69.56

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Solution

The fourth proportional to 130.51, 195.85 and 69.56 is: 104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 195.85 = 69.56 : x
  2. Step 2: Convert to fraction form
    130.51/195.85 = 69.56/x
  3. Step 3: Cross multiply
    130.51x = 195.85 × 69.56
  4. Step 4: Simplify right side
    130.51x = 13,623.17
  5. Step 5: Solve for x
    x = 13,623.17/130.51
  6. Step 6: Final answer
    x = 104.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.