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Finding the Fourth Proportional to 120.16, 165.81 and 87.01

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Solution

The fourth proportional to 120.16, 165.81 and 87.01 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 165.81 = 87.01 : x
  2. Step 2: Convert to fraction form
    120.16/165.81 = 87.01/x
  3. Step 3: Cross multiply
    120.16x = 165.81 × 87.01
  4. Step 4: Simplify right side
    120.16x = 14,427.37
  5. Step 5: Solve for x
    x = 14,427.37/120.16
  6. Step 6: Final answer
    x = 120.07

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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.