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Finding the Fourth Proportional to 114.07, 157.41 and 69.80

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Solution

The fourth proportional to 114.07, 157.41 and 69.80 is: 96.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.07 : 157.41 = 69.80 : x
  2. Step 2: Convert to fraction form
    114.07/157.41 = 69.80/x
  3. Step 3: Cross multiply
    114.07x = 157.41 × 69.80
  4. Step 4: Simplify right side
    114.07x = 10,987.22
  5. Step 5: Solve for x
    x = 10,987.22/114.07
  6. Step 6: Final answer
    x = 96.32

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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.