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Finding the Fourth Proportional to 58.76, 80.94 and 54.58

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Solution

The fourth proportional to 58.76, 80.94 and 54.58 is: 75.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.76 : 80.94 = 54.58 : x
  2. Step 2: Convert to fraction form
    58.76/80.94 = 54.58/x
  3. Step 3: Cross multiply
    58.76x = 80.94 × 54.58
  4. Step 4: Simplify right side
    58.76x = 4,417.71
  5. Step 5: Solve for x
    x = 4,417.71/58.76
  6. Step 6: Final answer
    x = 75.18

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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.