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Finding the Fourth Proportional to 134.58, 185.81 and 105.02

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Solution

The fourth proportional to 134.58, 185.81 and 105.02 is: 145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.58 : 185.81 = 105.02 : x
  2. Step 2: Convert to fraction form
    134.58/185.81 = 105.02/x
  3. Step 3: Cross multiply
    134.58x = 185.81 × 105.02
  4. Step 4: Simplify right side
    134.58x = 19,513.27
  5. Step 5: Solve for x
    x = 19,513.27/134.58
  6. Step 6: Final answer
    x = 145.00

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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.