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Finding the Fourth Proportional to 35.76, 53.04 and 35.67

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Solution

The fourth proportional to 35.76, 53.04 and 35.67 is: 52.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.76 : 53.04 = 35.67 : x
  2. Step 2: Convert to fraction form
    35.76/53.04 = 35.67/x
  3. Step 3: Cross multiply
    35.76x = 53.04 × 35.67
  4. Step 4: Simplify right side
    35.76x = 1,891.94
  5. Step 5: Solve for x
    x = 1,891.94/35.76
  6. Step 6: Final answer
    x = 52.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.