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Finding the Fourth Proportional to 145.76, 201.16 and 94.08

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Solution

The fourth proportional to 145.76, 201.16 and 94.08 is: 129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 201.16 = 94.08 : x
  2. Step 2: Convert to fraction form
    145.76/201.16 = 94.08/x
  3. Step 3: Cross multiply
    145.76x = 201.16 × 94.08
  4. Step 4: Simplify right side
    145.76x = 18,925.13
  5. Step 5: Solve for x
    x = 18,925.13/145.76
  6. Step 6: Final answer
    x = 129.84

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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.