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Finding the Fourth Proportional to 114.47, 157.84 and 105.22

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Solution

The fourth proportional to 114.47, 157.84 and 105.22 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 157.84 = 105.22 : x
  2. Step 2: Convert to fraction form
    114.47/157.84 = 105.22/x
  3. Step 3: Cross multiply
    114.47x = 157.84 × 105.22
  4. Step 4: Simplify right side
    114.47x = 16,607.92
  5. Step 5: Solve for x
    x = 16,607.92/114.47
  6. Step 6: Final answer
    x = 145.09

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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.