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Finding the Fourth Proportional to 117.54, 162.02 and 76.02

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Solution

The fourth proportional to 117.54, 162.02 and 76.02 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.54 : 162.02 = 76.02 : x
  2. Step 2: Convert to fraction form
    117.54/162.02 = 76.02/x
  3. Step 3: Cross multiply
    117.54x = 162.02 × 76.02
  4. Step 4: Simplify right side
    117.54x = 12,316.38
  5. Step 5: Solve for x
    x = 12,316.38/117.54
  6. Step 6: Final answer
    x = 104.78

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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.