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Finding the Fourth Proportional to 152.24, 210.08 and 102.97

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Solution

The fourth proportional to 152.24, 210.08 and 102.97 is: 142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 210.08 = 102.97 : x
  2. Step 2: Convert to fraction form
    152.24/210.08 = 102.97/x
  3. Step 3: Cross multiply
    152.24x = 210.08 × 102.97
  4. Step 4: Simplify right side
    152.24x = 21,630.37
  5. Step 5: Solve for x
    x = 21,630.37/152.24
  6. Step 6: Final answer
    x = 142.08

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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.