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Finding the Fourth Proportional to 152.50, 210.45 and 83.50

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Solution

The fourth proportional to 152.50, 210.45 and 83.50 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 210.45 = 83.50 : x
  2. Step 2: Convert to fraction form
    152.50/210.45 = 83.50/x
  3. Step 3: Cross multiply
    152.50x = 210.45 × 83.50
  4. Step 4: Simplify right side
    152.50x = 17,572.58
  5. Step 5: Solve for x
    x = 17,572.58/152.50
  6. Step 6: Final answer
    x = 115.23

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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.