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Finding the Fourth Proportional to 35.51, 52.97 and 31.46

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Solution

The fourth proportional to 35.51, 52.97 and 31.46 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.51 : 52.97 = 31.46 : x
  2. Step 2: Convert to fraction form
    35.51/52.97 = 31.46/x
  3. Step 3: Cross multiply
    35.51x = 52.97 × 31.46
  4. Step 4: Simplify right side
    35.51x = 1,666.44
  5. Step 5: Solve for x
    x = 1,666.44/35.51
  6. Step 6: Final answer
    x = 46.93

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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.