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Finding the Fourth Proportional to 114, 157.37 and 75.21

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Solution

The fourth proportional to 114, 157.37 and 75.21 is: 103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 157.37 = 75.21 : x
  2. Step 2: Convert to fraction form
    114/157.37 = 75.21/x
  3. Step 3: Cross multiply
    114x = 157.37 × 75.21
  4. Step 4: Simplify right side
    114x = 11,835.42
  5. Step 5: Solve for x
    x = 11,835.42/114
  6. Step 6: Final answer
    x = 103.82

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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.