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Finding the Fourth Proportional to 86.23, 118.99 and 53.05

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Solution

The fourth proportional to 86.23, 118.99 and 53.05 is: 73.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.23 : 118.99 = 53.05 : x
  2. Step 2: Convert to fraction form
    86.23/118.99 = 53.05/x
  3. Step 3: Cross multiply
    86.23x = 118.99 × 53.05
  4. Step 4: Simplify right side
    86.23x = 6,312.42
  5. Step 5: Solve for x
    x = 6,312.42/86.23
  6. Step 6: Final answer
    x = 73.20

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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.