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Finding the Fourth Proportional to 86.70, 130.05 and 80.10

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Solution

The fourth proportional to 86.70, 130.05 and 80.10 is: 120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 130.05 = 80.10 : x
  2. Step 2: Convert to fraction form
    86.70/130.05 = 80.10/x
  3. Step 3: Cross multiply
    86.70x = 130.05 × 80.10
  4. Step 4: Simplify right side
    86.70x = 10,417.01
  5. Step 5: Solve for x
    x = 10,417.01/86.70
  6. Step 6: Final answer
    x = 120.15

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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.