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Finding the Fourth Proportional to 152.81, 210.86 and 86.42

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Solution

The fourth proportional to 152.81, 210.86 and 86.42 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 210.86 = 86.42 : x
  2. Step 2: Convert to fraction form
    152.81/210.86 = 86.42/x
  3. Step 3: Cross multiply
    152.81x = 210.86 × 86.42
  4. Step 4: Simplify right side
    152.81x = 18,221.47
  5. Step 5: Solve for x
    x = 18,221.47/152.81
  6. Step 6: Final answer
    x = 119.25

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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.