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Finding the Fourth Proportional to 35.88, 53.76 and 31.35

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Solution

The fourth proportional to 35.88, 53.76 and 31.35 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.88 : 53.76 = 31.35 : x
  2. Step 2: Convert to fraction form
    35.88/53.76 = 31.35/x
  3. Step 3: Cross multiply
    35.88x = 53.76 × 31.35
  4. Step 4: Simplify right side
    35.88x = 1,685.38
  5. Step 5: Solve for x
    x = 1,685.38/35.88
  6. Step 6: Final answer
    x = 46.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.