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Finding the Fourth Proportional to 114.11, 157.51 and 83.13

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Solution

The fourth proportional to 114.11, 157.51 and 83.13 is: 114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 157.51 = 83.13 : x
  2. Step 2: Convert to fraction form
    114.11/157.51 = 83.13/x
  3. Step 3: Cross multiply
    114.11x = 157.51 × 83.13
  4. Step 4: Simplify right side
    114.11x = 13,093.32
  5. Step 5: Solve for x
    x = 13,093.32/114.11
  6. Step 6: Final answer
    x = 114.74

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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.