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Finding the Fourth Proportional to 54.60, 75.35 and 30.04

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Solution

The fourth proportional to 54.60, 75.35 and 30.04 is: 41.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.60 : 75.35 = 30.04 : x
  2. Step 2: Convert to fraction form
    54.60/75.35 = 30.04/x
  3. Step 3: Cross multiply
    54.60x = 75.35 × 30.04
  4. Step 4: Simplify right side
    54.60x = 2,263.45
  5. Step 5: Solve for x
    x = 2,263.45/54.60
  6. Step 6: Final answer
    x = 41.46

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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.