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Finding the Fourth Proportional to 35.57, 53.12 and 26.56

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Solution

The fourth proportional to 35.57, 53.12 and 26.56 is: 39.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.57 : 53.12 = 26.56 : x
  2. Step 2: Convert to fraction form
    35.57/53.12 = 26.56/x
  3. Step 3: Cross multiply
    35.57x = 53.12 × 26.56
  4. Step 4: Simplify right side
    35.57x = 1,411.00
  5. Step 5: Solve for x
    x = 1,411.00/35.57
  6. Step 6: Final answer
    x = 39.67

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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.