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Finding the Fourth Proportional to 114.06, 157.16 and 106.31

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Solution

The fourth proportional to 114.06, 157.16 and 106.31 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 157.16 = 106.31 : x
  2. Step 2: Convert to fraction form
    114.06/157.16 = 106.31/x
  3. Step 3: Cross multiply
    114.06x = 157.16 × 106.31
  4. Step 4: Simplify right side
    114.06x = 16,706.36
  5. Step 5: Solve for x
    x = 16,706.36/114.06
  6. Step 6: Final answer
    x = 146.47

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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.