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Finding the Fourth Proportional to 84.23, 116.18 and 56.58

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Solution

The fourth proportional to 84.23, 116.18 and 56.58 is: 78.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.23 : 116.18 = 56.58 : x
  2. Step 2: Convert to fraction form
    84.23/116.18 = 56.58/x
  3. Step 3: Cross multiply
    84.23x = 116.18 × 56.58
  4. Step 4: Simplify right side
    84.23x = 6,573.18
  5. Step 5: Solve for x
    x = 6,573.18/84.23
  6. Step 6: Final answer
    x = 78.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.