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Finding the Fourth Proportional to 116.02, 160.08 and 69.41

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Solution

The fourth proportional to 116.02, 160.08 and 69.41 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 160.08 = 69.41 : x
  2. Step 2: Convert to fraction form
    116.02/160.08 = 69.41/x
  3. Step 3: Cross multiply
    116.02x = 160.08 × 69.41
  4. Step 4: Simplify right side
    116.02x = 11,111.55
  5. Step 5: Solve for x
    x = 11,111.55/116.02
  6. Step 6: Final answer
    x = 95.77

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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.