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Finding the Fourth Proportional to 114.84, 159.17 and 112.68

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Solution

The fourth proportional to 114.84, 159.17 and 112.68 is: 156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.84 : 159.17 = 112.68 : x
  2. Step 2: Convert to fraction form
    114.84/159.17 = 112.68/x
  3. Step 3: Cross multiply
    114.84x = 159.17 × 112.68
  4. Step 4: Simplify right side
    114.84x = 17,934.71
  5. Step 5: Solve for x
    x = 17,934.71/114.84
  6. Step 6: Final answer
    x = 156.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.