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Finding the Fourth Proportional to 123.69, 170.64 and 84.81

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Solution

The fourth proportional to 123.69, 170.64 and 84.81 is: 117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.69 : 170.64 = 84.81 : x
  2. Step 2: Convert to fraction form
    123.69/170.64 = 84.81/x
  3. Step 3: Cross multiply
    123.69x = 170.64 × 84.81
  4. Step 4: Simplify right side
    123.69x = 14,471.98
  5. Step 5: Solve for x
    x = 14,471.98/123.69
  6. Step 6: Final answer
    x = 117.00

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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.