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Finding the Fourth Proportional to 117.45, 162.03 and 80.10

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Solution

The fourth proportional to 117.45, 162.03 and 80.10 is: 110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 162.03 = 80.10 : x
  2. Step 2: Convert to fraction form
    117.45/162.03 = 80.10/x
  3. Step 3: Cross multiply
    117.45x = 162.03 × 80.10
  4. Step 4: Simplify right side
    117.45x = 12,978.60
  5. Step 5: Solve for x
    x = 12,978.60/117.45
  6. Step 6: Final answer
    x = 110.50

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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.