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Finding the Fourth Proportional to 86.96, 130.31 and 59.51

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Solution

The fourth proportional to 86.96, 130.31 and 59.51 is: 89.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.96 : 130.31 = 59.51 : x
  2. Step 2: Convert to fraction form
    86.96/130.31 = 59.51/x
  3. Step 3: Cross multiply
    86.96x = 130.31 × 59.51
  4. Step 4: Simplify right side
    86.96x = 7,754.45
  5. Step 5: Solve for x
    x = 7,754.45/86.96
  6. Step 6: Final answer
    x = 89.17

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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.