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Finding the Fourth Proportional to 35.95, 53.88 and 32.14

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Solution

The fourth proportional to 35.95, 53.88 and 32.14 is: 48.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.95 : 53.88 = 32.14 : x
  2. Step 2: Convert to fraction form
    35.95/53.88 = 32.14/x
  3. Step 3: Cross multiply
    35.95x = 53.88 × 32.14
  4. Step 4: Simplify right side
    35.95x = 1,731.70
  5. Step 5: Solve for x
    x = 1,731.70/35.95
  6. Step 6: Final answer
    x = 48.17

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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.