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Finding the Fourth Proportional to 148.60, 204.93 and 101.95

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Solution

The fourth proportional to 148.60, 204.93 and 101.95 is: 140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.60 : 204.93 = 101.95 : x
  2. Step 2: Convert to fraction form
    148.60/204.93 = 101.95/x
  3. Step 3: Cross multiply
    148.60x = 204.93 × 101.95
  4. Step 4: Simplify right side
    148.60x = 20,892.61
  5. Step 5: Solve for x
    x = 20,892.61/148.60
  6. Step 6: Final answer
    x = 140.60

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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.