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Finding the Fourth Proportional to 56.42, 84.58 and 32.02

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Solution

The fourth proportional to 56.42, 84.58 and 32.02 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 84.58 = 32.02 : x
  2. Step 2: Convert to fraction form
    56.42/84.58 = 32.02/x
  3. Step 3: Cross multiply
    56.42x = 84.58 × 32.02
  4. Step 4: Simplify right side
    56.42x = 2,708.25
  5. Step 5: Solve for x
    x = 2,708.25/56.42
  6. Step 6: Final answer
    x = 48.00

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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.