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Finding the Fourth Proportional to 114.68, 157.30 and 107.36

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Solution

The fourth proportional to 114.68, 157.30 and 107.36 is: 147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.68 : 157.30 = 107.36 : x
  2. Step 2: Convert to fraction form
    114.68/157.30 = 107.36/x
  3. Step 3: Cross multiply
    114.68x = 157.30 × 107.36
  4. Step 4: Simplify right side
    114.68x = 16,887.73
  5. Step 5: Solve for x
    x = 16,887.73/114.68
  6. Step 6: Final answer
    x = 147.26

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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.