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Finding the Fourth Proportional to 86.99, 130.40 and 41.31

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Solution

The fourth proportional to 86.99, 130.40 and 41.31 is: 61.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 130.40 = 41.31 : x
  2. Step 2: Convert to fraction form
    86.99/130.40 = 41.31/x
  3. Step 3: Cross multiply
    86.99x = 130.40 × 41.31
  4. Step 4: Simplify right side
    86.99x = 5,386.62
  5. Step 5: Solve for x
    x = 5,386.62/86.99
  6. Step 6: Final answer
    x = 61.93

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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.