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Finding the Fourth Proportional to 152.10, 209.93 and 103.14

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Solution

The fourth proportional to 152.10, 209.93 and 103.14 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.10 : 209.93 = 103.14 : x
  2. Step 2: Convert to fraction form
    152.10/209.93 = 103.14/x
  3. Step 3: Cross multiply
    152.10x = 209.93 × 103.14
  4. Step 4: Simplify right side
    152.10x = 21,651.66
  5. Step 5: Solve for x
    x = 21,651.66/152.10
  6. Step 6: Final answer
    x = 142.35

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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.