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Finding the Fourth Proportional to 134.40, 185.64 and 110.14

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Solution

The fourth proportional to 134.40, 185.64 and 110.14 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 185.64 = 110.14 : x
  2. Step 2: Convert to fraction form
    134.40/185.64 = 110.14/x
  3. Step 3: Cross multiply
    134.40x = 185.64 × 110.14
  4. Step 4: Simplify right side
    134.40x = 20,446.39
  5. Step 5: Solve for x
    x = 20,446.39/134.40
  6. Step 6: Final answer
    x = 152.13

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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.