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Finding the Fourth Proportional to 102, 152.10 and 94.56

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Solution

The fourth proportional to 102, 152.10 and 94.56 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 152.10 = 94.56 : x
  2. Step 2: Convert to fraction form
    102/152.10 = 94.56/x
  3. Step 3: Cross multiply
    102x = 152.10 × 94.56
  4. Step 4: Simplify right side
    102x = 14,382.58
  5. Step 5: Solve for x
    x = 14,382.58/102
  6. Step 6: Final answer
    x = 141.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.