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Finding the Fourth Proportional to 86.53, 119.53 and 64.66

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Solution

The fourth proportional to 86.53, 119.53 and 64.66 is: 89.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.53 : 119.53 = 64.66 : x
  2. Step 2: Convert to fraction form
    86.53/119.53 = 64.66/x
  3. Step 3: Cross multiply
    86.53x = 119.53 × 64.66
  4. Step 4: Simplify right side
    86.53x = 7,728.49
  5. Step 5: Solve for x
    x = 7,728.49/86.53
  6. Step 6: Final answer
    x = 89.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.