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Finding the Fourth Proportional to 35.76, 49.20 and 31.16

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Solution

The fourth proportional to 35.76, 49.20 and 31.16 is: 42.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.76 : 49.20 = 31.16 : x
  2. Step 2: Convert to fraction form
    35.76/49.20 = 31.16/x
  3. Step 3: Cross multiply
    35.76x = 49.20 × 31.16
  4. Step 4: Simplify right side
    35.76x = 1,533.07
  5. Step 5: Solve for x
    x = 1,533.07/35.76
  6. Step 6: Final answer
    x = 42.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.