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Finding the Fourth Proportional to 130.57, 180.17 and 78.11

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Solution

The fourth proportional to 130.57, 180.17 and 78.11 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.57 : 180.17 = 78.11 : x
  2. Step 2: Convert to fraction form
    130.57/180.17 = 78.11/x
  3. Step 3: Cross multiply
    130.57x = 180.17 × 78.11
  4. Step 4: Simplify right side
    130.57x = 14,071.79
  5. Step 5: Solve for x
    x = 14,071.79/130.57
  6. Step 6: Final answer
    x = 107.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.