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Finding the Fourth Proportional to 116.01, 160.10 and 100.47

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Solution

The fourth proportional to 116.01, 160.10 and 100.47 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.01 : 160.10 = 100.47 : x
  2. Step 2: Convert to fraction form
    116.01/160.10 = 100.47/x
  3. Step 3: Cross multiply
    116.01x = 160.10 × 100.47
  4. Step 4: Simplify right side
    116.01x = 16,084.02
  5. Step 5: Solve for x
    x = 16,084.02/116.01
  6. Step 6: Final answer
    x = 138.64

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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.