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Finding the Fourth Proportional to 116.16, 159.93 and 105.63

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Solution

The fourth proportional to 116.16, 159.93 and 105.63 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.16 : 159.93 = 105.63 : x
  2. Step 2: Convert to fraction form
    116.16/159.93 = 105.63/x
  3. Step 3: Cross multiply
    116.16x = 159.93 × 105.63
  4. Step 4: Simplify right side
    116.16x = 16,893.41
  5. Step 5: Solve for x
    x = 16,893.41/116.16
  6. Step 6: Final answer
    x = 145.43

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Why These Related Problems?

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