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Finding the Fourth Proportional to 152.83, 210.85 and 97.64

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Solution

The fourth proportional to 152.83, 210.85 and 97.64 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.83 : 210.85 = 97.64 : x
  2. Step 2: Convert to fraction form
    152.83/210.85 = 97.64/x
  3. Step 3: Cross multiply
    152.83x = 210.85 × 97.64
  4. Step 4: Simplify right side
    152.83x = 20,587.39
  5. Step 5: Solve for x
    x = 20,587.39/152.83
  6. Step 6: Final answer
    x = 134.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.