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Finding the Fourth Proportional to 116.10, 160.26 and 89.82

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Solution

The fourth proportional to 116.10, 160.26 and 89.82 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 160.26 = 89.82 : x
  2. Step 2: Convert to fraction form
    116.10/160.26 = 89.82/x
  3. Step 3: Cross multiply
    116.10x = 160.26 × 89.82
  4. Step 4: Simplify right side
    116.10x = 14,394.55
  5. Step 5: Solve for x
    x = 14,394.55/116.10
  6. Step 6: Final answer
    x = 123.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.