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Finding the Fourth Proportional to 116.02, 159.73 and 106.03

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Solution

The fourth proportional to 116.02, 159.73 and 106.03 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 159.73 = 106.03 : x
  2. Step 2: Convert to fraction form
    116.02/159.73 = 106.03/x
  3. Step 3: Cross multiply
    116.02x = 159.73 × 106.03
  4. Step 4: Simplify right side
    116.02x = 16,936.17
  5. Step 5: Solve for x
    x = 16,936.17/116.02
  6. Step 6: Final answer
    x = 145.98

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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.