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Finding the Fourth Proportional to 42, 57.85 and 32.76

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Solution

The fourth proportional to 42, 57.85 and 32.76 is: 45.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 57.85 = 32.76 : x
  2. Step 2: Convert to fraction form
    42/57.85 = 32.76/x
  3. Step 3: Cross multiply
    42x = 57.85 × 32.76
  4. Step 4: Simplify right side
    42x = 1,895.17
  5. Step 5: Solve for x
    x = 1,895.17/42
  6. Step 6: Final answer
    x = 45.12

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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.