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Finding the Fourth Proportional to 114.02, 157.27 and 106.21

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Solution

The fourth proportional to 114.02, 157.27 and 106.21 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.02 : 157.27 = 106.21 : x
  2. Step 2: Convert to fraction form
    114.02/157.27 = 106.21/x
  3. Step 3: Cross multiply
    114.02x = 157.27 × 106.21
  4. Step 4: Simplify right side
    114.02x = 16,703.65
  5. Step 5: Solve for x
    x = 16,703.65/114.02
  6. Step 6: Final answer
    x = 146.50

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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.