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Finding the Fourth Proportional to 152.68, 210.63 and 97.39

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Solution

The fourth proportional to 152.68, 210.63 and 97.39 is: 134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.68 : 210.63 = 97.39 : x
  2. Step 2: Convert to fraction form
    152.68/210.63 = 97.39/x
  3. Step 3: Cross multiply
    152.68x = 210.63 × 97.39
  4. Step 4: Simplify right side
    152.68x = 20,513.26
  5. Step 5: Solve for x
    x = 20,513.26/152.68
  6. Step 6: Final answer
    x = 134.35

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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.