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Finding the Fourth Proportional to 58.68, 80.58 and 47.58

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Solution

The fourth proportional to 58.68, 80.58 and 47.58 is: 65.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 80.58 = 47.58 : x
  2. Step 2: Convert to fraction form
    58.68/80.58 = 47.58/x
  3. Step 3: Cross multiply
    58.68x = 80.58 × 47.58
  4. Step 4: Simplify right side
    58.68x = 3,834.00
  5. Step 5: Solve for x
    x = 3,834.00/58.68
  6. Step 6: Final answer
    x = 65.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.