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Finding the Fourth Proportional to 35.45, 52.87 and 31.60

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Solution

The fourth proportional to 35.45, 52.87 and 31.60 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.45 : 52.87 = 31.60 : x
  2. Step 2: Convert to fraction form
    35.45/52.87 = 31.60/x
  3. Step 3: Cross multiply
    35.45x = 52.87 × 31.60
  4. Step 4: Simplify right side
    35.45x = 1,670.27
  5. Step 5: Solve for x
    x = 1,670.27/35.45
  6. Step 6: Final answer
    x = 47.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.