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Finding the Fourth Proportional to 114.47, 158.64 and 112.31

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Solution

The fourth proportional to 114.47, 158.64 and 112.31 is: 155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 158.64 = 112.31 : x
  2. Step 2: Convert to fraction form
    114.47/158.64 = 112.31/x
  3. Step 3: Cross multiply
    114.47x = 158.64 × 112.31
  4. Step 4: Simplify right side
    114.47x = 17,816.07
  5. Step 5: Solve for x
    x = 17,816.07/114.47
  6. Step 6: Final answer
    x = 155.65

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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.