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Finding the Fourth Proportional to 152.45, 210.31 and 97.22

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Solution

The fourth proportional to 152.45, 210.31 and 97.22 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.45 : 210.31 = 97.22 : x
  2. Step 2: Convert to fraction form
    152.45/210.31 = 97.22/x
  3. Step 3: Cross multiply
    152.45x = 210.31 × 97.22
  4. Step 4: Simplify right side
    152.45x = 20,445.53
  5. Step 5: Solve for x
    x = 20,445.53/152.45
  6. Step 6: Final answer
    x = 134.12

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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.