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Finding the Fourth Proportional to 114.32, 171.46 and 32.06

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Solution

The fourth proportional to 114.32, 171.46 and 32.06 is: 48.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 171.46 = 32.06 : x
  2. Step 2: Convert to fraction form
    114.32/171.46 = 32.06/x
  3. Step 3: Cross multiply
    114.32x = 171.46 × 32.06
  4. Step 4: Simplify right side
    114.32x = 5,496.50
  5. Step 5: Solve for x
    x = 5,496.50/114.32
  6. Step 6: Final answer
    x = 48.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.