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Finding the Fourth Proportional to 116.40, 160.57 and 69.77

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Solution

The fourth proportional to 116.40, 160.57 and 69.77 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 160.57 = 69.77 : x
  2. Step 2: Convert to fraction form
    116.40/160.57 = 69.77/x
  3. Step 3: Cross multiply
    116.40x = 160.57 × 69.77
  4. Step 4: Simplify right side
    116.40x = 11,203.46
  5. Step 5: Solve for x
    x = 11,203.46/116.40
  6. Step 6: Final answer
    x = 96.25

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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.