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Finding the Fourth Proportional to 114.12, 157.59 and 106.26

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Solution

The fourth proportional to 114.12, 157.59 and 106.26 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 157.59 = 106.26 : x
  2. Step 2: Convert to fraction form
    114.12/157.59 = 106.26/x
  3. Step 3: Cross multiply
    114.12x = 157.59 × 106.26
  4. Step 4: Simplify right side
    114.12x = 16,745.51
  5. Step 5: Solve for x
    x = 16,745.51/114.12
  6. Step 6: Final answer
    x = 146.74

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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.