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Finding the Fourth Proportional to 152.41, 210.37 and 94.16

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Solution

The fourth proportional to 152.41, 210.37 and 94.16 is: 129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 210.37 = 94.16 : x
  2. Step 2: Convert to fraction form
    152.41/210.37 = 94.16/x
  3. Step 3: Cross multiply
    152.41x = 210.37 × 94.16
  4. Step 4: Simplify right side
    152.41x = 19,806.92
  5. Step 5: Solve for x
    x = 19,806.92/152.41
  6. Step 6: Final answer
    x = 129.96

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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.