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Finding the Fourth Proportional to 116.49, 160.63 and 75.05

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Solution

The fourth proportional to 116.49, 160.63 and 75.05 is: 103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.49 : 160.63 = 75.05 : x
  2. Step 2: Convert to fraction form
    116.49/160.63 = 75.05/x
  3. Step 3: Cross multiply
    116.49x = 160.63 × 75.05
  4. Step 4: Simplify right side
    116.49x = 12,055.28
  5. Step 5: Solve for x
    x = 12,055.28/116.49
  6. Step 6: Final answer
    x = 103.49

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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.