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Finding the Fourth Proportional to 109.95, 164.21 and 88.32

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Solution

The fourth proportional to 109.95, 164.21 and 88.32 is: 131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 164.21 = 88.32 : x
  2. Step 2: Convert to fraction form
    109.95/164.21 = 88.32/x
  3. Step 3: Cross multiply
    109.95x = 164.21 × 88.32
  4. Step 4: Simplify right side
    109.95x = 14,503.03
  5. Step 5: Solve for x
    x = 14,503.03/109.95
  6. Step 6: Final answer
    x = 131.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.