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Finding the Fourth Proportional to 152.89, 210.96 and 86.50

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Solution

The fourth proportional to 152.89, 210.96 and 86.50 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 210.96 = 86.50 : x
  2. Step 2: Convert to fraction form
    152.89/210.96 = 86.50/x
  3. Step 3: Cross multiply
    152.89x = 210.96 × 86.50
  4. Step 4: Simplify right side
    152.89x = 18,248.04
  5. Step 5: Solve for x
    x = 18,248.04/152.89
  6. Step 6: Final answer
    x = 119.35

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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.