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Finding the Fourth Proportional to 71.07, 98.19 and 56.58

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Solution

The fourth proportional to 71.07, 98.19 and 56.58 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 98.19 = 56.58 : x
  2. Step 2: Convert to fraction form
    71.07/98.19 = 56.58/x
  3. Step 3: Cross multiply
    71.07x = 98.19 × 56.58
  4. Step 4: Simplify right side
    71.07x = 5,555.59
  5. Step 5: Solve for x
    x = 5,555.59/71.07
  6. Step 6: Final answer
    x = 78.17

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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.