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Finding the Fourth Proportional to 159.51, 220.14 and 101.25

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Solution

The fourth proportional to 159.51, 220.14 and 101.25 is: 139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 220.14 = 101.25 : x
  2. Step 2: Convert to fraction form
    159.51/220.14 = 101.25/x
  3. Step 3: Cross multiply
    159.51x = 220.14 × 101.25
  4. Step 4: Simplify right side
    159.51x = 22,289.18
  5. Step 5: Solve for x
    x = 22,289.18/159.51
  6. Step 6: Final answer
    x = 139.74

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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.