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Finding the Fourth Proportional to 114.48, 157.21 and 102.20

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Solution

The fourth proportional to 114.48, 157.21 and 102.20 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.48 : 157.21 = 102.20 : x
  2. Step 2: Convert to fraction form
    114.48/157.21 = 102.20/x
  3. Step 3: Cross multiply
    114.48x = 157.21 × 102.20
  4. Step 4: Simplify right side
    114.48x = 16,065.82
  5. Step 5: Solve for x
    x = 16,065.82/114.48
  6. Step 6: Final answer
    x = 140.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.