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Finding the Fourth Proportional to 116.07, 160.23 and 89.78

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Solution

The fourth proportional to 116.07, 160.23 and 89.78 is: 123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 160.23 = 89.78 : x
  2. Step 2: Convert to fraction form
    116.07/160.23 = 89.78/x
  3. Step 3: Cross multiply
    116.07x = 160.23 × 89.78
  4. Step 4: Simplify right side
    116.07x = 14,385.45
  5. Step 5: Solve for x
    x = 14,385.45/116.07
  6. Step 6: Final answer
    x = 123.94

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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.