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Finding the Fourth Proportional to 130.85, 180.56 and 72.63

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Solution

The fourth proportional to 130.85, 180.56 and 72.63 is: 100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.85 : 180.56 = 72.63 : x
  2. Step 2: Convert to fraction form
    130.85/180.56 = 72.63/x
  3. Step 3: Cross multiply
    130.85x = 180.56 × 72.63
  4. Step 4: Simplify right side
    130.85x = 13,114.07
  5. Step 5: Solve for x
    x = 13,114.07/130.85
  6. Step 6: Final answer
    x = 100.22

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