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Finding the Fourth Proportional to 114.46, 171.76 and 106.01

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Solution

The fourth proportional to 114.46, 171.76 and 106.01 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.46 : 171.76 = 106.01 : x
  2. Step 2: Convert to fraction form
    114.46/171.76 = 106.01/x
  3. Step 3: Cross multiply
    114.46x = 171.76 × 106.01
  4. Step 4: Simplify right side
    114.46x = 18,208.28
  5. Step 5: Solve for x
    x = 18,208.28/114.46
  6. Step 6: Final answer
    x = 159.08

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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.