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Finding the Fourth Proportional to 110.42, 165.64 and 97.06

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Solution

The fourth proportional to 110.42, 165.64 and 97.06 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.42 : 165.64 = 97.06 : x
  2. Step 2: Convert to fraction form
    110.42/165.64 = 97.06/x
  3. Step 3: Cross multiply
    110.42x = 165.64 × 97.06
  4. Step 4: Simplify right side
    110.42x = 16,077.02
  5. Step 5: Solve for x
    x = 16,077.02/110.42
  6. Step 6: Final answer
    x = 145.60

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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.