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Finding the Fourth Proportional to 98.30, 135.65 and 54.64

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Solution

The fourth proportional to 98.30, 135.65 and 54.64 is: 75.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.30 : 135.65 = 54.64 : x
  2. Step 2: Convert to fraction form
    98.30/135.65 = 54.64/x
  3. Step 3: Cross multiply
    98.30x = 135.65 × 54.64
  4. Step 4: Simplify right side
    98.30x = 7,411.71
  5. Step 5: Solve for x
    x = 7,411.71/98.30
  6. Step 6: Final answer
    x = 75.40

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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.