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Finding the Fourth Proportional to 145.12, 216.40 and 124.96

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Solution

The fourth proportional to 145.12, 216.40 and 124.96 is: 186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.12 : 216.40 = 124.96 : x
  2. Step 2: Convert to fraction form
    145.12/216.40 = 124.96/x
  3. Step 3: Cross multiply
    145.12x = 216.40 × 124.96
  4. Step 4: Simplify right side
    145.12x = 27,041.34
  5. Step 5: Solve for x
    x = 27,041.34/145.12
  6. Step 6: Final answer
    x = 186.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.