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Finding the Fourth Proportional to 134.83, 186.16 and 103.69

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Solution

The fourth proportional to 134.83, 186.16 and 103.69 is: 143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.83 : 186.16 = 103.69 : x
  2. Step 2: Convert to fraction form
    134.83/186.16 = 103.69/x
  3. Step 3: Cross multiply
    134.83x = 186.16 × 103.69
  4. Step 4: Simplify right side
    134.83x = 19,303.45
  5. Step 5: Solve for x
    x = 19,303.45/134.83
  6. Step 6: Final answer
    x = 143.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.