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Finding the Fourth Proportional to 134.68, 185.52 and 116.16

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Solution

The fourth proportional to 134.68, 185.52 and 116.16 is: 160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.68 : 185.52 = 116.16 : x
  2. Step 2: Convert to fraction form
    134.68/185.52 = 116.16/x
  3. Step 3: Cross multiply
    134.68x = 185.52 × 116.16
  4. Step 4: Simplify right side
    134.68x = 21,550.00
  5. Step 5: Solve for x
    x = 21,550.00/134.68
  6. Step 6: Final answer
    x = 160.01

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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.