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Finding the Fourth Proportional to 35.60, 48.72 and 34.96

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Solution

The fourth proportional to 35.60, 48.72 and 34.96 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.60 : 48.72 = 34.96 : x
  2. Step 2: Convert to fraction form
    35.60/48.72 = 34.96/x
  3. Step 3: Cross multiply
    35.60x = 48.72 × 34.96
  4. Step 4: Simplify right side
    35.60x = 1,703.25
  5. Step 5: Solve for x
    x = 1,703.25/35.60
  6. Step 6: Final answer
    x = 47.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.