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Finding the Fourth Proportional to 145.09, 199.92 and 101.35

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Solution

The fourth proportional to 145.09, 199.92 and 101.35 is: 139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.09 : 199.92 = 101.35 : x
  2. Step 2: Convert to fraction form
    145.09/199.92 = 101.35/x
  3. Step 3: Cross multiply
    145.09x = 199.92 × 101.35
  4. Step 4: Simplify right side
    145.09x = 20,261.89
  5. Step 5: Solve for x
    x = 20,261.89/145.09
  6. Step 6: Final answer
    x = 139.65

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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.