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Finding the Fourth Proportional to 35.64, 53.53 and 31.59

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Solution

The fourth proportional to 35.64, 53.53 and 31.59 is: 47.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.64 : 53.53 = 31.59 : x
  2. Step 2: Convert to fraction form
    35.64/53.53 = 31.59/x
  3. Step 3: Cross multiply
    35.64x = 53.53 × 31.59
  4. Step 4: Simplify right side
    35.64x = 1,690.93
  5. Step 5: Solve for x
    x = 1,690.93/35.64
  6. Step 6: Final answer
    x = 47.44

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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.