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Finding the Fourth Proportional to 86.45, 129.22 and 64.77

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Solution

The fourth proportional to 86.45, 129.22 and 64.77 is: 96.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.45 : 129.22 = 64.77 : x
  2. Step 2: Convert to fraction form
    86.45/129.22 = 64.77/x
  3. Step 3: Cross multiply
    86.45x = 129.22 × 64.77
  4. Step 4: Simplify right side
    86.45x = 8,368.93
  5. Step 5: Solve for x
    x = 8,368.93/86.45
  6. Step 6: Final answer
    x = 96.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.