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Finding the Fourth Proportional to 35.37, 53.06 and 35.10

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Solution

The fourth proportional to 35.37, 53.06 and 35.10 is: 52.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.37 : 53.06 = 35.10 : x
  2. Step 2: Convert to fraction form
    35.37/53.06 = 35.10/x
  3. Step 3: Cross multiply
    35.37x = 53.06 × 35.10
  4. Step 4: Simplify right side
    35.37x = 1,862.23
  5. Step 5: Solve for x
    x = 1,862.23/35.37
  6. Step 6: Final answer
    x = 52.65

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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.