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Finding the Fourth Proportional to 211.01, 316.52 and 74.07

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Solution

The fourth proportional to 211.01, 316.52 and 74.07 is: 111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.01 : 316.52 = 74.07 : x
  2. Step 2: Convert to fraction form
    211.01/316.52 = 74.07/x
  3. Step 3: Cross multiply
    211.01x = 316.52 × 74.07
  4. Step 4: Simplify right side
    211.01x = 23,444.82
  5. Step 5: Solve for x
    x = 23,444.82/211.01
  6. Step 6: Final answer
    x = 111.11

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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.