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Finding the Fourth Proportional to 35.52, 53 and 31.02

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Solution

The fourth proportional to 35.52, 53 and 31.02 is: 46.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.52 : 53 = 31.02 : x
  2. Step 2: Convert to fraction form
    35.52/53 = 31.02/x
  3. Step 3: Cross multiply
    35.52x = 53 × 31.02
  4. Step 4: Simplify right side
    35.52x = 1,644.06
  5. Step 5: Solve for x
    x = 1,644.06/35.52
  6. Step 6: Final answer
    x = 46.29

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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.