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Finding the Fourth Proportional to 114.47, 157.91 and 106.23

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Solution

The fourth proportional to 114.47, 157.91 and 106.23 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 157.91 = 106.23 : x
  2. Step 2: Convert to fraction form
    114.47/157.91 = 106.23/x
  3. Step 3: Cross multiply
    114.47x = 157.91 × 106.23
  4. Step 4: Simplify right side
    114.47x = 16,774.25
  5. Step 5: Solve for x
    x = 16,774.25/114.47
  6. Step 6: Final answer
    x = 146.54

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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.