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Finding the Fourth Proportional to 145.09, 216.79 and 99.05

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Solution

The fourth proportional to 145.09, 216.79 and 99.05 is: 148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.09 : 216.79 = 99.05 : x
  2. Step 2: Convert to fraction form
    145.09/216.79 = 99.05/x
  3. Step 3: Cross multiply
    145.09x = 216.79 × 99.05
  4. Step 4: Simplify right side
    145.09x = 21,473.05
  5. Step 5: Solve for x
    x = 21,473.05/145.09
  6. Step 6: Final answer
    x = 148.00

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Why These Related Problems?

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