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Finding the Fourth Proportional to 130.78, 180.48 and 72.56

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Solution

The fourth proportional to 130.78, 180.48 and 72.56 is: 100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 180.48 = 72.56 : x
  2. Step 2: Convert to fraction form
    130.78/180.48 = 72.56/x
  3. Step 3: Cross multiply
    130.78x = 180.48 × 72.56
  4. Step 4: Simplify right side
    130.78x = 13,095.94
  5. Step 5: Solve for x
    x = 13,095.94/130.78
  6. Step 6: Final answer
    x = 100.14

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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.