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Finding the Fourth Proportional to 117.66, 176.35 and 77.01

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Solution

The fourth proportional to 117.66, 176.35 and 77.01 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.66 : 176.35 = 77.01 : x
  2. Step 2: Convert to fraction form
    117.66/176.35 = 77.01/x
  3. Step 3: Cross multiply
    117.66x = 176.35 × 77.01
  4. Step 4: Simplify right side
    117.66x = 13,579.45
  5. Step 5: Solve for x
    x = 13,579.45/117.66
  6. Step 6: Final answer
    x = 115.42

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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.