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Finding the Fourth Proportional to 35.64, 53.46 and 29.78

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Solution

The fourth proportional to 35.64, 53.46 and 29.78 is: 44.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.64 : 53.46 = 29.78 : x
  2. Step 2: Convert to fraction form
    35.64/53.46 = 29.78/x
  3. Step 3: Cross multiply
    35.64x = 53.46 × 29.78
  4. Step 4: Simplify right side
    35.64x = 1,592.04
  5. Step 5: Solve for x
    x = 1,592.04/35.64
  6. Step 6: Final answer
    x = 44.67

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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.