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Finding the Fourth Proportional to 86.69, 130.10 and 59.69

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Solution

The fourth proportional to 86.69, 130.10 and 59.69 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 130.10 = 59.69 : x
  2. Step 2: Convert to fraction form
    86.69/130.10 = 59.69/x
  3. Step 3: Cross multiply
    86.69x = 130.10 × 59.69
  4. Step 4: Simplify right side
    86.69x = 7,764.72
  5. Step 5: Solve for x
    x = 7,764.72/86.69
  6. Step 6: Final answer
    x = 89.57

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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.