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Finding the Fourth Proportional to 117.84, 176.94 and 77.40

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Solution

The fourth proportional to 117.84, 176.94 and 77.40 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 176.94 = 77.40 : x
  2. Step 2: Convert to fraction form
    117.84/176.94 = 77.40/x
  3. Step 3: Cross multiply
    117.84x = 176.94 × 77.40
  4. Step 4: Simplify right side
    117.84x = 13,695.16
  5. Step 5: Solve for x
    x = 13,695.16/117.84
  6. Step 6: Final answer
    x = 116.22

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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.