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Finding the Fourth Proportional to 213.37, 319.95 and 91.60

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Solution

The fourth proportional to 213.37, 319.95 and 91.60 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.37 : 319.95 = 91.60 : x
  2. Step 2: Convert to fraction form
    213.37/319.95 = 91.60/x
  3. Step 3: Cross multiply
    213.37x = 319.95 × 91.60
  4. Step 4: Simplify right side
    213.37x = 29,307.42
  5. Step 5: Solve for x
    x = 29,307.42/213.37
  6. Step 6: Final answer
    x = 137.35

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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.