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Finding the Fourth Proportional to 117.30, 176.06 and 76.77

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Solution

The fourth proportional to 117.30, 176.06 and 76.77 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 176.06 = 76.77 : x
  2. Step 2: Convert to fraction form
    117.30/176.06 = 76.77/x
  3. Step 3: Cross multiply
    117.30x = 176.06 × 76.77
  4. Step 4: Simplify right side
    117.30x = 13,516.13
  5. Step 5: Solve for x
    x = 13,516.13/117.30
  6. Step 6: Final answer
    x = 115.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.