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Finding the Fourth Proportional to 84.64, 116.80 and 55.50

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Solution

The fourth proportional to 84.64, 116.80 and 55.50 is: 76.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.64 : 116.80 = 55.50 : x
  2. Step 2: Convert to fraction form
    84.64/116.80 = 55.50/x
  3. Step 3: Cross multiply
    84.64x = 116.80 × 55.50
  4. Step 4: Simplify right side
    84.64x = 6,482.40
  5. Step 5: Solve for x
    x = 6,482.40/84.64
  6. Step 6: Final answer
    x = 76.59

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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.