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Finding the Fourth Proportional to 117.90, 176.54 and 77.20

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Solution

The fourth proportional to 117.90, 176.54 and 77.20 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 176.54 = 77.20 : x
  2. Step 2: Convert to fraction form
    117.90/176.54 = 77.20/x
  3. Step 3: Cross multiply
    117.90x = 176.54 × 77.20
  4. Step 4: Simplify right side
    117.90x = 13,628.89
  5. Step 5: Solve for x
    x = 13,628.89/117.90
  6. Step 6: Final answer
    x = 115.60

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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.