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Finding the Fourth Proportional to 35.86, 53.71 and 31.58

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Solution

The fourth proportional to 35.86, 53.71 and 31.58 is: 47.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.86 : 53.71 = 31.58 : x
  2. Step 2: Convert to fraction form
    35.86/53.71 = 31.58/x
  3. Step 3: Cross multiply
    35.86x = 53.71 × 31.58
  4. Step 4: Simplify right side
    35.86x = 1,696.16
  5. Step 5: Solve for x
    x = 1,696.16/35.86
  6. Step 6: Final answer
    x = 47.30

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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.