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Finding the Fourth Proportional to 42, 58 and 32.32

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Solution

The fourth proportional to 42, 58 and 32.32 is: 44.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 58 = 32.32 : x
  2. Step 2: Convert to fraction form
    42/58 = 32.32/x
  3. Step 3: Cross multiply
    42x = 58 × 32.32
  4. Step 4: Simplify right side
    42x = 1,874.56
  5. Step 5: Solve for x
    x = 1,874.56/42
  6. Step 6: Final answer
    x = 44.63

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1.5x scale

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.