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Finding the Fourth Proportional to 117.60, 162.25 and 68.45

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Solution

The fourth proportional to 117.60, 162.25 and 68.45 is: 94.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 162.25 = 68.45 : x
  2. Step 2: Convert to fraction form
    117.60/162.25 = 68.45/x
  3. Step 3: Cross multiply
    117.60x = 162.25 × 68.45
  4. Step 4: Simplify right side
    117.60x = 11,106.01
  5. Step 5: Solve for x
    x = 11,106.01/117.60
  6. Step 6: Final answer
    x = 94.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.