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Finding the Fourth Proportional to 145.00, 200.10 and 79.50

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Solution

The fourth proportional to 145.00, 200.10 and 79.50 is: 109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.00 : 200.10 = 79.50 : x
  2. Step 2: Convert to fraction form
    145.00/200.10 = 79.50/x
  3. Step 3: Cross multiply
    145.00x = 200.10 × 79.50
  4. Step 4: Simplify right side
    145.00x = 15,909.00
  5. Step 5: Solve for x
    x = 15,909.00/145.00
  6. Step 6: Final answer
    x = 109.72

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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.