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Finding the Fourth Proportional to 107.60, 148.46 and 63.95

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Solution

The fourth proportional to 107.60, 148.46 and 63.95 is: 88.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 148.46 = 63.95 : x
  2. Step 2: Convert to fraction form
    107.60/148.46 = 63.95/x
  3. Step 3: Cross multiply
    107.60x = 148.46 × 63.95
  4. Step 4: Simplify right side
    107.60x = 9,492.95
  5. Step 5: Solve for x
    x = 9,492.95/107.60
  6. Step 6: Final answer
    x = 88.23

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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.