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Finding the Fourth Proportional to 35.45, 48.75 and 31.76

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Solution

The fourth proportional to 35.45, 48.75 and 31.76 is: 43.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.45 : 48.75 = 31.76 : x
  2. Step 2: Convert to fraction form
    35.45/48.75 = 31.76/x
  3. Step 3: Cross multiply
    35.45x = 48.75 × 31.76
  4. Step 4: Simplify right side
    35.45x = 1,548.06
  5. Step 5: Solve for x
    x = 1,548.06/35.45
  6. Step 6: Final answer
    x = 43.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.