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Finding the Fourth Proportional to 210.93, 316.35 and 72.09

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Solution

The fourth proportional to 210.93, 316.35 and 72.09 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 316.35 = 72.09 : x
  2. Step 2: Convert to fraction form
    210.93/316.35 = 72.09/x
  3. Step 3: Cross multiply
    210.93x = 316.35 × 72.09
  4. Step 4: Simplify right side
    210.93x = 22,804.13
  5. Step 5: Solve for x
    x = 22,804.13/210.93
  6. Step 6: Final answer
    x = 108.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.