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Finding the Fourth Proportional to 117.54, 161.88 and 98.10

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Solution

The fourth proportional to 117.54, 161.88 and 98.10 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.54 : 161.88 = 98.10 : x
  2. Step 2: Convert to fraction form
    117.54/161.88 = 98.10/x
  3. Step 3: Cross multiply
    117.54x = 161.88 × 98.10
  4. Step 4: Simplify right side
    117.54x = 15,880.43
  5. Step 5: Solve for x
    x = 15,880.43/117.54
  6. Step 6: Final answer
    x = 135.11

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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.