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Finding the Fourth Proportional to 211.53, 317.19 and 89.72

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Solution

The fourth proportional to 211.53, 317.19 and 89.72 is: 134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.53 : 317.19 = 89.72 : x
  2. Step 2: Convert to fraction form
    211.53/317.19 = 89.72/x
  3. Step 3: Cross multiply
    211.53x = 317.19 × 89.72
  4. Step 4: Simplify right side
    211.53x = 28,459.08
  5. Step 5: Solve for x
    x = 28,459.08/211.53
  6. Step 6: Final answer
    x = 134.54

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Why These Related Problems?

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