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Finding the Fourth Proportional to 152.68, 210.69 and 86.30

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Solution

The fourth proportional to 152.68, 210.69 and 86.30 is: 119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.68 : 210.69 = 86.30 : x
  2. Step 2: Convert to fraction form
    152.68/210.69 = 86.30/x
  3. Step 3: Cross multiply
    152.68x = 210.69 × 86.30
  4. Step 4: Simplify right side
    152.68x = 18,181.06
  5. Step 5: Solve for x
    x = 18,181.06/152.68
  6. Step 6: Final answer
    x = 119.08

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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.