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Finding the Fourth Proportional to 114.23, 157.72 and 101.93

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Solution

The fourth proportional to 114.23, 157.72 and 101.93 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 157.72 = 101.93 : x
  2. Step 2: Convert to fraction form
    114.23/157.72 = 101.93/x
  3. Step 3: Cross multiply
    114.23x = 157.72 × 101.93
  4. Step 4: Simplify right side
    114.23x = 16,076.54
  5. Step 5: Solve for x
    x = 16,076.54/114.23
  6. Step 6: Final answer
    x = 140.74

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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.