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Finding the Fourth Proportional to 117.80, 162.40 and 88.23

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Solution

The fourth proportional to 117.80, 162.40 and 88.23 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 162.40 = 88.23 : x
  2. Step 2: Convert to fraction form
    117.80/162.40 = 88.23/x
  3. Step 3: Cross multiply
    117.80x = 162.40 × 88.23
  4. Step 4: Simplify right side
    117.80x = 14,328.55
  5. Step 5: Solve for x
    x = 14,328.55/117.80
  6. Step 6: Final answer
    x = 121.63

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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.