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Finding the Fourth Proportional to 117.99, 176.16 and 109.77

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Solution

The fourth proportional to 117.99, 176.16 and 109.77 is: 163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 176.16 = 109.77 : x
  2. Step 2: Convert to fraction form
    117.99/176.16 = 109.77/x
  3. Step 3: Cross multiply
    117.99x = 176.16 × 109.77
  4. Step 4: Simplify right side
    117.99x = 19,337.08
  5. Step 5: Solve for x
    x = 19,337.08/117.99
  6. Step 6: Final answer
    x = 163.89

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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.