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Finding the Fourth Proportional to 152.64, 210.69 and 97.41

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Solution

The fourth proportional to 152.64, 210.69 and 97.41 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 210.69 = 97.41 : x
  2. Step 2: Convert to fraction form
    152.64/210.69 = 97.41/x
  3. Step 3: Cross multiply
    152.64x = 210.69 × 97.41
  4. Step 4: Simplify right side
    152.64x = 20,523.31
  5. Step 5: Solve for x
    x = 20,523.31/152.64
  6. Step 6: Final answer
    x = 134.46

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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.