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Finding the Fourth Proportional to 86.54, 130.06 and 72.19

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Solution

The fourth proportional to 86.54, 130.06 and 72.19 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.54 : 130.06 = 72.19 : x
  2. Step 2: Convert to fraction form
    86.54/130.06 = 72.19/x
  3. Step 3: Cross multiply
    86.54x = 130.06 × 72.19
  4. Step 4: Simplify right side
    86.54x = 9,389.03
  5. Step 5: Solve for x
    x = 9,389.03/86.54
  6. Step 6: Final answer
    x = 108.49

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Why These Related Problems?

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