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Finding the Fourth Proportional to 58.58, 80.84 and 32.70

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Solution

The fourth proportional to 58.58, 80.84 and 32.70 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.58 : 80.84 = 32.70 : x
  2. Step 2: Convert to fraction form
    58.58/80.84 = 32.70/x
  3. Step 3: Cross multiply
    58.58x = 80.84 × 32.70
  4. Step 4: Simplify right side
    58.58x = 2,643.67
  5. Step 5: Solve for x
    x = 2,643.67/58.58
  6. Step 6: Final answer
    x = 45.13

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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.