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Finding the Fourth Proportional to 110.19, 165.42 and 101.01

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Solution

The fourth proportional to 110.19, 165.42 and 101.01 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 165.42 = 101.01 : x
  2. Step 2: Convert to fraction form
    110.19/165.42 = 101.01/x
  3. Step 3: Cross multiply
    110.19x = 165.42 × 101.01
  4. Step 4: Simplify right side
    110.19x = 16,709.07
  5. Step 5: Solve for x
    x = 16,709.07/110.19
  6. Step 6: Final answer
    x = 151.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.