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Finding the Fourth Proportional to 102.70, 152.99 and 102.10

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Solution

The fourth proportional to 102.70, 152.99 and 102.10 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.70 : 152.99 = 102.10 : x
  2. Step 2: Convert to fraction form
    102.70/152.99 = 102.10/x
  3. Step 3: Cross multiply
    102.70x = 152.99 × 102.10
  4. Step 4: Simplify right side
    102.70x = 15,620.28
  5. Step 5: Solve for x
    x = 15,620.28/102.70
  6. Step 6: Final answer
    x = 152.10

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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.