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Finding the Fourth Proportional to 107.04, 147.42 and 90.54

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Solution

The fourth proportional to 107.04, 147.42 and 90.54 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.04 : 147.42 = 90.54 : x
  2. Step 2: Convert to fraction form
    107.04/147.42 = 90.54/x
  3. Step 3: Cross multiply
    107.04x = 147.42 × 90.54
  4. Step 4: Simplify right side
    107.04x = 13,347.41
  5. Step 5: Solve for x
    x = 13,347.41/107.04
  6. Step 6: Final answer
    x = 124.70

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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.