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Finding the Fourth Proportional to 116.74, 160.72 and 101.40

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Solution

The fourth proportional to 116.74, 160.72 and 101.40 is: 139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 160.72 = 101.40 : x
  2. Step 2: Convert to fraction form
    116.74/160.72 = 101.40/x
  3. Step 3: Cross multiply
    116.74x = 160.72 × 101.40
  4. Step 4: Simplify right side
    116.74x = 16,297.01
  5. Step 5: Solve for x
    x = 16,297.01/116.74
  6. Step 6: Final answer
    x = 139.60

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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.